diff --git "a/data/dm_maths/full_data_1/1977_11255.jsonl" "b/data/dm_maths/full_data_1/1977_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1977_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 10:09 PM and 12:55 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -61. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104654 + 2913?\nAnswer: 107567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - 4.91. Let x = 0 - -0.5. What is the second smallest value in d, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214 - -214.000000394. What is a rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (3 - (3 + 4))) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-4653)\/(-44))\/(1\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -28aa0?\nAnswer: 28aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*t + 19*t - 438 + 439 + 5*t to the form i + f*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 7 - 6*q + 3*q)*(0 + 2 - 5).\nAnswer: 3*q - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, r: 3, f: 2, a: 1}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215202 divided by 26.\nAnswer: -8277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3086, 3084, 3082, 3080, 3078, 3076?\nAnswer: 3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3196*a**2*v - 1019*a*v - 4*v wrt a?\nAnswer: 6392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 57*u - 1200. What is p(18)?\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-92))\/(1\/(-2)) + 14\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, d: 2, v: 1, f: 1, c: 4, l: 3}. What is prob of picking 2 d and 2 k?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + -3. Let g = -10 - q. Solve 0 = 3*n - 0*n + g*h - 18, n + 3*h - 10 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/15, -8, 0, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - h - 145. Suppose 2*n = 4, -c + 13 = -5*n + 37. Let y = h + c. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 655.24 - 644. Let b = -8 + n. Round b to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from pcopcocp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20))\/(2\/(-140)). What is the units digit of 8\/(-12) - p\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -53, -71, -89, -107, -125?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (12\/42 - (-453)\/105). Which is the nearest to m? (a) -2\/3 (b) 2 (c) -0.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (7 - (7 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-28)\/(-72)*(-12)\/56.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:10 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 10*p**2 - 5*p**2)*(-1036 + 1036 - 163*p) - 3*p + 3*p - 2*p**2 - p**3 + p.\nAnswer: -2120*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 113.62.\nAnswer: 110.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))\/s*(s\/(s*s**(-8\/3)))\/s assuming s is positive.\nAnswer: s**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -11 - 20 - (0 - -6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -131.5. Let i = -0.3 + 0. Let q = 1.7 + -2.7. Which is the closest to q? (a) i (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*i**3 - 558*i**3 + 178560*i**2 - 178560*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 9. Let a be i(-4). Let l be (-90)\/a + 3\/(-5). Solve -3*w + l = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 145761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 1. Let i = -26.7 + 28. Let w = z - i. Sort 5, 3, w in descending order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658 divided by 4\nAnswer: 329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.0052 in 1, 2, 4, -3\/8, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 10089661.5979747?\nAnswer: 10089661.8979747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1066250 and 2.\nAnswer: 1066250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t - 2 = 0, 3*t - 9 = 2*a - 0*t. What is the first derivative of -a - 8*g**2 + 5*g**2 + 2*g**2 wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3575610 by 6.\nAnswer: 595935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70148 - 350686\/5. Factor t + 21\/5*p - 3\/5*p**2.\nAnswer: -3*(p - 9)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413140 (base 5) in base 7?\nAnswer: -151021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 8, -2684*w - 32 = -2686*w + 2*u for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -215)*(-2)\/5. Let v be (155\/(-90) - 4\/(-18))*4. Is 3*(p\/v + 0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68869, 138092, 207315, 276544, 345785, 415044, 484327, 553640?\n\"Answer: h**3 - 6*h**2 + 69234*h - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42.342 and -0.838.\nAnswer: 35.482596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14555 by -3.\nAnswer: -14555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 787504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zytbdbld. Give prob of picking 2 d, 1 y, and 1 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - (-12 + 4)) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 825 + -809. Suppose 5*c - c + f = 0, 4*x - 5*c - 3392 = 0. List the prime factors of x.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3 + 220*w**2 + 936*w - 2736 = 0.\nAnswer: -6, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11 - g**2 + 1259*g**3 - 17 + 6*g - g**2.\nAnswer: 1259*g**3 - 2*g**2 + 6*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.4032 minutes to microseconds.\nAnswer: 14364192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d + 167. Determine u(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392132 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11176 * 28.8.\nAnswer: 321868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*8\/50*65\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 66 = 5*o, -a - 9 + 66 = 4*o. Let y = -501 + 300. Let j = -141 - y. Calculate the greatest common factor of o and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18177, 2578, -3 in decreasing order.\nAnswer: 18177, 2578, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 38 = -12. Let i = h - -14. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -5a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * 0.088\nAnswer: 0.004224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/12 + v**3\/3 + 2*v**2. Suppose 0 = 2*m + 2*h - 14, -8 - 18 = -3*m - 4*h. Determine z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2 + j - 4. Let h(n) = 18*n**2 - 2*n + 9. Determine -3*h(w) - 7*v(w).\nAnswer: 9*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 0*a - 7*a - a in the form v + k*a and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -65\/698888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y. Let a(q) = -7*q + 3 - 2*q + 2 + 3. Let m(s) = 6*s - 5. Let v(t) = 5*a(t) + 8*m(t). Determine l(v(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d + 134. Let u(z) = -16336*z. Give u(c(i)).\nAnswer: 147024*i - 2189024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let t(a) be the second derivative of 91*a**3\/6 - 2*a + 5. Give p(t(j)).\nAnswer: -16562*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.72.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2742, 2800, 2858, 2916?\n\"Answer: 58*j + 2684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 14*s**2 - 34*s - 34. List the prime factors of k(-15).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 l when three letters picked without replacement from vvvpxjxljj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 38*l**2 + 39*l - 5. Let q be p(-39). Let s = 1.9 + -2. Let a = 0.1 - -0.1. What is the nearest to s in 3\/10, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1335 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(260\/(-64))*(-30)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (-5 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -59397.062 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*g + 108, 7*g = -l + 2*g + 54. Calculate the remainder when 425 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/(2\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 h, and 1 d when four letters picked without replacement from {l: 1, c: 3, h: 1, d: 1, g: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a**5 - 270910*a**4 - 758802*a**3 - 748042*a**2 - 303568*a - 43368 = 0. What is a?\nAnswer: -1, -2\/5, 5421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -335.37 and -32.\nAnswer: 10731.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*u**4 + 230*u**4 + 7*u**2 - 105*u**4 wrt u.\nAnswer: 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:12 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 5. Let c(i) be the first derivative of 2*i + 15. Let f(o) = 1. Let t(u) = -c(u) + f(u). What is -g(r) + 5*t(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 22*i**2 + 3*i - 4. What is the units digit of l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from cqacixcqac.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*r**2 - 535*r + 135 = 0. What is r?\nAnswer: -27, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -20 - -10 - -30 - -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1344, 5395, 12160, 21645, 33856, 48799, 66480?\n\"Answer: y**3 + 1351*y**2 - 9*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135598 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -424166\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.541941 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.967178 * -0.4.\nAnswer: 3.5868712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7176 and 1437696?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005, 2730, 4453, 6174?\nAnswer: 7893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3*12.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 847*p**6\/6 + p**4\/2 + 422*p**2 - 1705. Find the second derivative of d(k) wrt k.\nAnswer: 16940*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41138*d + 3003*d - 9850*d - 5704*d.\nAnswer: -53689*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -43?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-1131)\/4. Let d = p - 308. Let w = 870 + -8711\/10. Find the common denominator of w and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + 8716 - 8725 + 4*l + (0 - 1 + 2)*(-2*l + 2*l - l).\nAnswer: 6*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 3, x: 5, q: 1, l: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 48*z**2 + 32*z - 4. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 11*l - 144 = 0. Let j(v) = 5*v + 0*v - l - 4*v. Let z(o) = 2*o - 7. Calculate -3*j(t) + 2*z(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-4))\/11*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1210251, 1210248, 1210245, 1210242?\n\"Answer: -3*b + 1210254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1747 + -50675\/10482. Find the common denominator of -35\/2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - ((-48)\/(-30) - -4)\/(472\/(-590))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890526.\nAnswer: 2, 3, 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16608 divided by 1.\nAnswer: 16608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 16192*i + 90*i**2 + 231 - 2*i**2.\nAnswer: 88*i**2 + 16192*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3337 + 62876*l - 2*l**2 - 62876*l.\nAnswer: -2*l**2 - 3337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964*f - 21385 = 23790 - 11787 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 488183\nAnswer: -4\/488183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -533\/2 + 289. Let z be (3 - 4) + 4 - 14519\/11. Let n = 1318 + z. Calculate the common denominator of n and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(-t + 4*t - 2*t) - 3*t**2 + t**2 + 3*t**2 + (-7*t + 2*t + 3*t)*(t + 0*t + 0*t) + 0*t**2 - t**2 + 0*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -714.52 and -0.6?\nAnswer: 713.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 20\/(16\/(-4)). Factor 0*d - 1\/6*d**4 - 1\/6*d**3 + w + 0*d**2.\nAnswer: -d**3*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -38*d**3 - 3*d**2 + 2*d + 4. Let w be z(-3). Let x = w - 696. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = 3*u. Suppose 1 = 3*b + 13. Let r(z) = -3*z - 4. What is the remainder when r(b) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186782*h**3 + 720827*h**2?\nAnswer: 1120692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3480.31 millennia to years.\nAnswer: 3480310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-50) - -1)\/(-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.9 (b) 0.6 (c) 3 (d) 1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*1 - sqrt(187))*1 - 3*(sqrt(187) - (sqrt(187) - sqrt(187)*1)))\/(sqrt(77)\/((-2*sqrt(35))\/sqrt(5))))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*b**3*t - 14492*b**3 + 2*b**2 - 612*b*t - 8*b + 296*t - 1 wrt b?\nAnswer: -864*b*t - 86952*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 15. What is k(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 2.1. Let s be 1\/2*(-18)\/(-15). Sort s, -0.6, r in descending order.\nAnswer: s, r, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11368.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3\/4, 4, 0.1, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -5*n - 148. Let x be (5 - (-150)\/n)*2\/10. Put -2\/17, -4, x in decreasing order.\nAnswer: x, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.91823mm to meters.\nAnswer: 0.02491823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6137380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93123642 by 2024427.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**4*l + 27*h**3 + h**2*l**3 - 1089*l**3 + l wrt h.\nAnswer: 8*h**3*l + 81*h**2 + 2*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 3*v)*(-6*v**3 + v**3 + 2*v**3)*(-4*v + 2*v + 3*v).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7532.96 + -1941.\nAnswer: 5591.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*q**3 + 441*q - 249*q + 2308*q**2 - 22*q**3 + 55*q**3 + 684*q wrt q?\nAnswer: 12*q + 4616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*-2)\/(-2) - -3. Suppose -2*y = -y. Sort 2, p, y in increasing order.\nAnswer: y, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + l + 483 - 480, 0 = 4*w + l + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnngngnnn.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:26 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -13*f**4\/24 + 2*f**3\/3 - f**2. Let i(v) = v**3 + 6*v**2 + 5*v - 2. Let l be i(-5). Does 8 divide a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*f**2 + 35*f**2 - 1 - 2 + 16*f.\nAnswer: -70*f**2 + 16*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 35*s - 142. List the prime factors of x(42).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(80) + sqrt(80) + -5 - sqrt(80)) + 2 + (sqrt(80) + 1 + sqrt(80) + 1)*6)**2.\nAnswer: 1224*sqrt(5) + 23201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/2 - 131\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -649.0010705 - -649. What is t rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 162*z - 2 + z - 12*z.\nAnswer: 151*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1.239082\nAnswer: -1.760918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530487, 530310, 530133, 529956, 529779?\nAnswer: 529602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 3 + 8 - 8 + (-26*p**4 - 15*p**4 - 50*p**4)*(-3*p + 4*p - 3*p).\nAnswer: 184*p**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-8) - 308\/(-432) and (4 - 14) + 132916\/12408?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323112 (base 4) in base 2?\nAnswer: 1111011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 - 3 = 0. Suppose 0 = -q*i - 9 + 30. Suppose -i = -c + 1. Calculate the highest common divisor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 + 6*j + 5*j**2 + 3*j**2 - 5*j**2 in the form h*j**2 + d + a*j and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 540, 962, 1384, 1806?\nAnswer: 2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 52*q**3 + 366*q**2 - 568*q + 256.\nAnswer: -2*(q - 4)*(q - 1)**2*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23460230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/686 and -81\/22?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 + 434. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 703*w**3 - 598*w**2 - 13 + 596*w**2 + w + 17*w**3 + 15 to a*w**2 + z*w + o + r*w**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q - 7\/2*q**2 - 45. Determine l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -101 (b) 2\/11 (c) -5 (d) 2\/3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.06. Let m = -0.99 - o. Let p = -4 + m. What is the third smallest value in -1\/3, -2, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**6 - 25893*m**3 + 451003*m**2 wrt m?\nAnswer: -480*m**3 - 155358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 less than or equal to 3325\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose -c*d = d. Suppose d = -4*w + 8*w + 12. Put w, -2\/7, -1\/4 in ascending order.\nAnswer: w, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838140 to the power of 1\/2, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99.64 + 1.64. Let d = p - -97.9. Let s be (18\/(-30))\/(2\/(-10)). Which is the closest to -0.1? (a) s (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 4*m + 6 + 5.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -23.4. Let s be (-4)\/(-112) - (15\/(-12) + 1). What is the nearest to s in 1, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 16 + (-3 - 4) + -68 + -5\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304880 and 2083285.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**2\/2 + 7*h - 9. Let o be j(-5). Let u(n) = -4*n**o + 4*n**2 + 7*n**2. Let w(g) = -4*g**2. Calculate w(u(l)).\nAnswer: -196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m**7*m**(-2\/11)\/(m*m\/(m\/(m**5*m*m))*m))\/(m**(-1\/2)*m*m*m**(3\/7)*(m\/m**1)**(9\/13)) assuming m is positive.\nAnswer: m**(-3559\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 7*u + 416. Let m be 2\/3 - u\/39. Suppose 0 = -m*q + r + 275, 200 = q + 2*r + 55. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.53 and -0.2.\nAnswer: -1.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -54. Solve -4*z + 0*d - 14 = 2*d, -2*z - f = 4*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 23, 58, 107, 170, 247, 338?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 - 4014 - 10856 = 265*o. Are 0.2 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 4:28 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*z + 12, -165*z - 2*r + 18 = -161*z. What is the highest common factor of 23 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -217, 0.166?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = 0. Let r = 3311 + -3304. Let d be (-150)\/(-22) + 6\/33 + -3. Solve g = d*t - r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Let g be (-274)\/30 - 20\/(100\/(-45)). Which is the biggest value? (a) 5 (b) t (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((i - i + 3*i)*(-3*i + 3*i + 2*i) + i**2 + 0*i**2 + i**2)*(-26*i + 17*i + 12*i - 3) as h*i + k*i**2 + v + n*i**3 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/126)\/(-1*(-1)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-525)\/(-9436)) - (-6)\/45. Let i = a + -88. Let p(g) = 2*g**3 - 3*g + 1. Determine p(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/1645316 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.68 + -22. Let v = p - 3.68. Let c be -1 - (-1)\/1 - 6. What is the second smallest value in c, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1908874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -705, -5, 0, 1 in ascending order.\nAnswer: -705, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 9) in base 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36840659543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*h - 187*h - 419*h + 733*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 2*g**2 - g + 3. What is the smallest common multiple of p(2) and 2\/4 + (-18)\/(-4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -7 (c) -15258 (d) 9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63271.415 and -0.05?\nAnswer: -3163.57075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:50 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-6\/11))**(1\/19)*(q**(1\/2))**16\/(q*q**(-1\/3))**(-2\/75) assuming q is positive.\nAnswer: q**(374336\/47025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-76))\/(((-110)\/16)\/(-5)). Let i = -0.59 - 2.41. Let p be (1\/3)\/(2\/(-4)). Which is the nearest to p? (a) i (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 - 35*f**3 - 454*f wrt f.\nAnswer: 24*f**2 - 210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 3*i**5\/20 + 11*i**4\/12 + 11*i**3\/6 - 4*i. Let c(n) = -n**2 + 0*n**3 - n**3 - 3*n**2 - 4*n. Give 11*c(p) + 4*q(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bed + 615?\nAnswer: -25d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*x - 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 0*f - 5\/3*f**3 + 7\/2*f**2 - 5. Find the second derivative of y(u) wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.92 * -2323.53\nAnswer: -4461.1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*-1*(-6)\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3309587 and -0.2970405.\nAnswer: 3309586.7029595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -74568051\nAnswer: -2\/24856017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5480 is divided by 2697?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a**24\/a)*a**(-26) assuming a is positive.\nAnswer: a**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -837.7 + 838.298. What is h rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229252 (base 10) in base 9?\nAnswer: -378424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 6*h**5 + 3*h**4 - 3*h**2 - 94*h + 186*h - 89*h - 9*h**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + 309*t + 727. List the prime factors of h(-124).\nAnswer: 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 661033\/(-11591) - 2\/(-67)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = y - 4, -45*p + 11 = -46*p - 5*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 68 = -s - 5*b, 16 = 4*b. Let i = s + 24. Find the second derivative of -16*m + 0*m**2 + 7*m**i + 6*m wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by -69.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149204 or -149217?\nAnswer: -149217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 3325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5093300 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 9. Let v(h) be the second derivative of -h**6\/720 + h**4\/12 + 52*h**3\/3 - 5*h - 20. Let p(l) be the third derivative of v(l). Give k(p(y)).\nAnswer: 3*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56756429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005408 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47320 by 104.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 53*q. Let y(o) = -5*o**2 - 2. Let g(s) = -27*s**2 - 11. Let h(a) = -6*g(a) + 33*y(a). Give u(h(w)).\nAnswer: -159*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 + 4*i**3 + 4*i**3 - 2*i**3 - 9*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 229, 808, 1941, 3814, 6613, 10524?\n\"Answer: 31*j**3 - 2*j**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/32727992 and -59\/66132.\nAnswer: 294551928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, 3\/2, 119.6, -1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 466*g**4 + 530 wrt g?\nAnswer: 1864*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800374159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35656742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -969a + 3?\nAnswer: -9697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 2*m - 94. Let h(b) = -6162*b. Give h(z(j)).\nAnswer: -43134*j**2 + 12324*j + 579228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3821 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360340\/7709 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 1. Let s be a(-1). Suppose 17 - 80 = -7*g. What is the remainder when g is divided by (-2 - (1 + s)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 429\/(-260) - 4\/10. What is the nearest to 0.4 in -3, -4, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 125 + 16*b)*(1 + 7 - 2)*(7*b**2 - 4*b**2 - b**2) + (-6*b**2 + 2*b**2 + b**2)*(8*b - 2*b - 2*b).\nAnswer: 180*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/19)\/z**(-2\/13)*((z\/(z\/(z**3*z))*z)\/z)\/(z\/(z*(z\/z**3)\/z))*(z\/((z\/(z*z**5))\/z)*z*z**4)\/(z**5*z*z**(2\/15)) assuming z is positive.\nAnswer: z**(26401\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4060576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five halves of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312951251 less than 0.012?\nAnswer: -5312951250.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-1*(-7)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 + 28 = -1635*u + 1704*u. What is the least common multiple of 5797 and u?\nAnswer: 34782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050)*4)\/(-1*sqrt(810)) + -5)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-238)\/4) - (-186)\/14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) -2\/13 (c) 0.06 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -4 - 1\/5*y**5 + 0*y**2 - 2\/3*y**3 + 0*y + 0*y**4. What is the third derivative of k(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-39))\/(-1*(-20)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 463?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - 5)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -450, -449, -448, -447?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/20 + -4\/5. Let i = -5.8 + 1.8. Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18443589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuaastuxssvvussavx. What is prob of picking 2 s?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.84 + -6. Let c = -0.34 + r. Let q = 0.04 + -2.04. Sort c, 1\/10, q in ascending order.\nAnswer: q, c, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-120)*((5\/120)\/((-7)\/(-105)))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (650\/(-75) + 13)*(-4 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/2 + -65\/6. Let m(d) be the first derivative of -6 - 4\/3*d**3 + x*d**6 + 0*d - 12\/5*d**4 - 1\/5*d**2 + 4\/5*d**5. Solve m(t) = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -1, 5, 2\/3, -0.65 in descending order.\nAnswer: 5, 2\/3, 0.4, -0.65, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j**3 + 338*j**2 - 586*j + 334. What is y(32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-56)\/(-245))\/(108\/294)\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19195\/(-10470)*(-1 - -19).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let p(i) = 5*i + 1. Let c(v) = 9*d(v) + 2*p(v). Let h(x) = -1. Suppose -2*a = -5*z - 14, -3*z + 0*a - 10 = -2*a. Calculate z*c(w) - 3*h(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 0*c)*(3 - 2 + 1) + (0 + 0 - 2)*(-10*c - c - c) - 18*c - 90*c - 48*c + 5*c - c - 3*c + (2*c + 4 - 4)*(1 + 0 - 3).\nAnswer: -133*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/20 + 7*g**3\/5 + 153*g**2\/10 + 343*g. Factor d(q).\nAnswer: -3*(q - 17)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -45 + 1. Suppose -5*p - q = -101, 0 = 4*p - 5*q + 6 - 81. Suppose -46*h = p*h - 2904. Calculate the least common multiple of g and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q. Let x(o) = 3*o + 7*o - 10*o - 3*o. What is r(x(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w - 73*w - 2*k = -457, 2*w - 884 = k. Solve 0 = -57*n + 46 - w for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1 - -3) + -2 + 526. What is the greatest common divisor of 3885 and j?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/850 and 59\/2626?\nAnswer: 1116050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g + 8. Let s(v) = -9*v - 7. Suppose 1497*n - 1504*n + 42 = 0. Give n*u(i) + 7*s(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17683 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 12}. Give prob of sequence fl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*y + 2 - 6*y**4 + 4*y**2 - 3*y**2 - 178*y as g*y**2 + i*y**4 + f*y**3 + a + c*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52824622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(375) + sqrt(375) + sqrt(15))\/(-5*sqrt(20)\/sqrt(4)).\nAnswer: -2 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -2537, 4 in increasing order.\nAnswer: -2537, -24, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(-5*c - 3*c - 13*c)*(1 - 3 + 5) + (5 + 1 - 4)*(-c - 1 + 1) to the form r*c + q and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*g = c + 2, 0 = -2*c - 4*g + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) - (-7)\/3. Suppose v*l + 2*l = 0. Suppose c - f = 16, l = -2*f - 0*f + 4. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let t(r) = -4*r - 1. Let v(b) = 3*n(b) - t(b). Let u(f) be the second derivative of -f**3\/3 - 2*f**2 + 88*f. Calculate u(z) + 4*v(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-21)\/36)\/7)\/(3\/(-9)). What is the fourth biggest value in -1\/2, -11, q, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*v - 37*v - 959 = 4501 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -1\/9, 36.195?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301.24262 + -0.27262. Let f = 301 - y. Which is the second smallest value? (a) -2 (b) 2\/9 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 27, 4687.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37873415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 89 = -127. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let n(y) = -18. Let v(s) = 2*c(s) + n(s). Let u be v(20). Solve 8*x - 3*x + u = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -13\/5*g**5 - 75\/2*g**2 + 2 + 0*g**3 - 11*g - 1\/12*g**4. Find the third derivative of t(u) wrt u.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -129. Let i(x) = 10*x - 8*x + 4 + s*x + 9*x. Let l be i(3). Calculate the greatest common divisor of 160 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/5 + 2792*z**4\/5 + 39666*z**3\/5 - 262352*z**2\/5 + 129416*z\/5 + 85728 = 0. Calculate z.\nAnswer: -19, -1, 2, 4, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oppspmqmp. What is prob of sequence mmsq?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 1, e: 2, o: 4, n: 2}. Give prob of picking 3 l and 1 o.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 13) to base 9\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -142900000 to the nearest one million.\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3709.2 - -0.15256.\nAnswer: 3709.35256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*y - 715 = 347*y + 2495 + 2250 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*b + 33*b + 12. Let g(t) = -12 - b - t**3 + 20. Calculate g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34228 is divided by 16460?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:34 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - 804.9257456.\nAnswer: -773.9257456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170) - 2*sqrt(170)) - sqrt(170))\/sqrt(10).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 1\/6 (c) 9442 (d) 3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10906.27, -67, -0.2 in descending order.\nAnswer: 10906.27, -0.2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/42820 and -49\/6423?\nAnswer: 128460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 14*p - 24. What are the prime factors of j(-11)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 50. Let g be v(-22). Suppose -g*l = -l - l. Put 4, l, 3 in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101113 (base 4) to base 12.\nAnswer: -5473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 335993335 to the power of 1\/2, to the nearest integer?\nAnswer: 18330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -215 - 237 + 116*v + 452 in the form y + l*v and give l.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 + 179.3. Let x = 181 - c. Let r(n) = n**2 + 6*n + 1. Let h be r(-6). What is the biggest value in h, x, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112010211 (base 3) to base 13.\nAnswer: 10861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/30 - j**5\/4 - 31*j**4\/12 - 43*j**3\/6 - 9*j**2 - 22*j - 61. What is z in l(z) = 0?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/(-60)*2\/24. Let m = x + 19\/40. Sort 1\/7, 0.4, m.\nAnswer: m, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -25, -4, 19, 22, 9 in ascending order.\nAnswer: -117, -25, -4, 9, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990117147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/26)*n*n**(-8\/3) assuming n is positive.\nAnswer: n**(-55\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, 1 m, and 1 n when four letters picked without replacement from {m: 4, n: 3, e: 1, a: 2, x: 4, t: 3}?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - j - 14, -4*j - 8 = -0*x - 4*x. Suppose 4 = h + 6. Let k be (-3)\/(-1) - 1 - 0. Put k, h, x in increasing order.\nAnswer: h, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {e: 2, z: 1, j: 3, p: 1, x: 8, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 20*w - 1834. Let r = -17553\/134 + w. Which is the second smallest value? (a) 1 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 938 - 937.99971. What is i rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513311433 (base 6) to base 12.\nAnswer: 2b65579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(605) + (sqrt(605) - sqrt(605)*3))*-3.\nAnswer: -1 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6016, 6017, 6018?\nAnswer: 6019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 283495587 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, y: 5}. Give prob of sequence yym.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z - 1\/360*z**6 + 45*z**2 + 0*z**4 + 0*z**5 - 2 + 1\/672*z**8 + 1\/1260*z**7 + 0*z**3. What is s in u(s) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ba793 (base 12) to base 11.\nAnswer: -1298894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13352551 and 0.5.\nAnswer: -13352550.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2076\/(-10))\/(1342\/(-165) + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -1072?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*t - t + t - 3 + 8*t + 3 + 3*t + 0*t + 2*t + (-1 + 2*t + 1)*(5 - 4 - 3) in the form s*t + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**4 - 3*b**4 + 2*b**4)*(2 - 2 + 2*b).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-22)))\/(k\/k**(-5)))**(-3\/31))**11 assuming k is positive.\nAnswer: k**(-561\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/11848 or 0.3?\nAnswer: -21\/11848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/7 - 2025*p**2\/7 + 2022*p\/7 = 0. What is p?\nAnswer: 0, 1, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1127, -4, 4, -2 in descending order.\nAnswer: 1127, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -1. Let l = 382 + -384. Let c = 3 - 8. What is the closest to l in i, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34785.75 rounded to the nearest 10?\nAnswer: -34790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, e: 2, b: 2, q: 3}. What is prob of sequence ee?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848818.\nAnswer: 2, 17, 54377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 4, i: 6}. Give prob of sequence nic.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 + 251 + (0 - -1) + -3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**2 + 7*v + 7. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 898 = 5*q + 594, 5*q = 2*u - 998. Is u a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/8 + (-138)\/(-48). Suppose 5*w = n + 27, -m*w + 4*n + 13 = -2*w. Calculate the remainder when 34 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 5. Let n be 30\/4 + f\/(-34). Let j = 9 - n. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 53. Are -10 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 + 2 - 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39339*i - 10 + 39383*i + 29 - 78668*i)*(3 - 1 - 4).\nAnswer: -108*i - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6101*k - 378. What is the hundreds digit of g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728 and 288.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - c + 6, -403*t = -233*t - 172*t - 5*c + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*924771\nAnswer: 2774313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -78*d. Let s(w) = -15*w**2 - 6*w. Calculate a(s(h)).\nAnswer: 1170*h**2 + 468*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*m**3 + 4235*m**2 - 721838*m + 75936 = 0. What is m?\nAnswer: -336, 2\/19, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2 - 8*q + 6. Let l(n) = 147*n**2. Calculate p(l(w)).\nAnswer: 259308*w**4 - 1176*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3273 by 3.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69196 * -0.4.\nAnswer: -27678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/48*-6*(-46800)\/166725?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11757*a**3 - 120*a + 119. What is the units digit of k(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8791644l?\nAnswer: 879.1644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rrrrrrzrrrrrrrrrrzr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.6 + 13.59826. Round k to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 5. Let i = 4 - 3. Let z = f + i. Which is the second biggest value? (a) -4 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496883 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -89. Suppose -4 = -j + n*p - 1, p = -4*j + 12. Solve -j*f - 6 = 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 0.36, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37983444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (563\/2)\/((-37)\/74). Let o = -355 - h. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let m(s) = s**2 - 963*s - 33. Give n(m(q)).\nAnswer: 2*q**2 - 1926*q - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2718113 and 4552.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -751 + 764. Let n = 11 - 6. Suppose 0 = 2*t - 5*y - 120, -t - 6*y + 46 = -n*y. Calculate the remainder when t is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 3*q**2 - q - 2. Let j be y(-2). Calculate the highest common factor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -75 + 81. Suppose 4*n - l = 7*c - 8*c, 0 = 5*c + 5*n - 10. Solve -c*v = 2*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20194547 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 92 = 4*o, 5*o - 2*w = -196 + 252 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3 + 19274*f**2 - 77072*f\/3 + 25688\/3.\nAnswer: -2*(f - 3211)*(3*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11784 by -2.\nAnswer: -5892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 - -319. Sort -2, -1, 3, n.\nAnswer: n, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 561 + -388. Let j = -28 + 16. Let l = g + j. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 14. Let r be s(18). Put -5, -8, r in descending order.\nAnswer: r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006365498 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3449\/31 at least as big as -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose 3*g + 435 = 5*h, 3*h + h - 4*g - 348 = 0. Suppose -a*f - h = 3. Let b(d) = -1. Let k(l) = -l**3 + 9. Give f*b(q) - 2*k(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 114*d + 656. What is the remainder when 386 is divided by p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-872)\/72 - -12)*(7 + (-430)\/70)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 53109\/(-5895))\/(38\/(8550\/(-135)))?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -30.7. Let n = 0.9 + w. Let u = 3 - -1. What is the nearest to 0 in n, u, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -5548.\nAnswer: -5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3560000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2 = -6*t + 11*t, -3*t + 3*a - 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3094, 6349, 9762, 13333, 17062, 20949, 24994?\nAnswer: 29197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 22520*n**2 + 22520*n**2 + 4*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 233310479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2 + 848*i + 29630. Give p(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -19*d + 42. Let r(m) be the third derivative of 0*m + 1\/2*m**d + 0 + 1\/24*m**4 + 2*m**2. Let g(j) = -j - 4. Give -3*g(p) - 4*r(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1152 + 2130. What is the common denominator of h\/180 + 2 - 2 and -91\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 - 5 = 0. Suppose -o*r + 10 = -r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/25*13 + (-25 - -23)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/10))**(3\/50)\/((f\/(f*f*f\/f**(-7)*f))\/(f\/(f\/(f**(-2\/13)\/f*f)))) assuming f is positive.\nAnswer: f**(64273\/6500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -42*p - 4. Let q be z(3). Let k be 635\/(-3) - 3\/9. Let a = q - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + 0 + 0 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/(w*w*w\/w**4)*w**(2\/13)*w*w*w**(1\/12) assuming w is positive.\nAnswer: w**(233\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 1, l: 7, u: 1, d: 2}. What is prob of picking 1 d and 3 l?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 1 + 0 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30524 by 814.\nAnswer: 15262\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -9 + (-125 - (-338 - -275))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2890*h**4*t - 11*h**3 + 7*h**2*t + 1090*h*t - 6*t wrt h?\nAnswer: -69360*h*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2641 = w - 8*l, 0 = -4*w - 5*l + 10522. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5516825?\nAnswer: 5, 220673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w. Let c be 8\/(-2*(0 + -1)). Suppose 26 = 4*k + 5*x, 3*k - c = k + 2*x. Let i(p) = p**2 + 4 - k. Calculate f(i(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from mmppppmmppp.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76\/5 of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68444?\nAnswer: 2, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, z: 4}. Give prob of sequence zz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:53 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -3*w**5\/5 + 5*w**4\/3 + 4*w**3\/3 - 40*w. Factor u(n).\nAnswer: -4*n*(n - 2)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 318*i**2. Let m be k(-1). Suppose -98 = 5*w - m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24171 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*c - 2, 2 = 2*m + 273959*c - 273961*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 - 94. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 357*x**4 - 4878*x**3 - 59478*x**2 + 132177*x - 68175 = 0 for x.\nAnswer: -9, 1, 25, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**8\/1680 - l**5\/40 - l**4\/3 - l. Let b(z) be the third derivative of c(z). What is the derivative of b(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + 12*n**2 + 5*n + 20. Let y be l(-8). Round y to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 0.66 (c) -5\/126 (d) 5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59607 by -19869.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.9 and 0.4?\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 596*j**2 - 6023*j - 136. What is n(10)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 9, b: 1, f: 6}. What is prob of sequence ffzj?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1)*t)\/t)**16)**(-16)*(t**1*t**2)\/((t\/((t**(1\/3)\/t*t*t*t)\/t))\/(t\/(t**(1\/5)*t))) assuming t is positive.\nAnswer: t**(-7633\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**4 - 6280*h**3 - 1965630*h**2 + 3950120*h - 1978205 = 0?\nAnswer: -629, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 504\/15 + 0 - 37\/(1295\/21)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.59 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 157395*f**3 - 2*f + 12303897 wrt f?\nAnswer: 472185*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Suppose 5*k + 0*k - u = -4*o, -4*k + 2*o - 16 = 0. Let n = 6 + -17\/3. What is the nearest to -1\/2 in n, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - 7. Suppose 4*n - r - 16 = 0, 6*n - j*r = n + 20. Let k = 762 + -746. Solve l - 12 - 1 = -2*o, k = n*l - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-7)*(-1)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57361629.\nAnswer: 3, 13, 59, 97, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 17. Let h(a) = -4*a - 9. Let l(d) = 3*g(d) + 5*h(d). Let w be l(-6). Suppose w = c - 4*c + 60. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639859*x + 2*m = 639858*x - 20, 46 = x - 4*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(21\/(-1368)) + -1. Suppose 5*m - 455 = -3*t, 5*m = 5*t - t + n. What is m rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3*a**2 - 2*a + 2. Let t(f) = 2*f + 7 - 3*f**3 - 6 - f**3. Let x = -2 - -1. Let o be t(x). Determine n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2503035 and 64\/675?\nAnswer: 12515175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*q + 51*q + 121*q**2 + (q - 3*q + q)*(-3 + 2*q + 3) - 2*q**2 - 2*q**2 + q**2 in the form m*q**2 + x + k*q and give m.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 125cc3d (base 14) to base 7\nAnswer: 135035006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29400580978.284 plus -33?\nAnswer: -29400581011.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 13. Let x = -14 + 26. Calculate the highest common factor of x and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 - 4*x**4 - 2 + 9*x**3 - 2*x + 7*x**4 in the form h*x**3 + r*x**4 + t + c*x**2 + f*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*y + 2 = -377*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 488*u + 2*u**4 - 488*u + (-2*u**3 + 5*u**3 - 4*u**3)*(-2*u - u - 6*u).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:21 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8934?\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6765609 to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/17 and 43\/289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -622*n + 618*n + p - 43, -4*p - 69 = -2*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 6 - 19*v**3 - 49*v**3 + 17.\nAnswer: -56*v**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (13 - (7 - -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 175*k + 340. Let q be r(-2). Which is the fifth smallest value? (a) 4 (b) 0.1 (c) 3 (d) 5 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(91)\/sqrt(7) - (sqrt(13) - (sqrt(117) - (1 + sqrt(117)))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -83, -191, -343, -539, -779, -1063?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -110, -106, -100, -92, -82, -70?\n\"Answer: z**2 - z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*g - 9925 = 885 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 79*t - 30. Determine p(5).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1318*a**2*i**3*k + 203*a**2*i**3 + 150*a**2*i**2 - 2*i**3*k wrt k.\nAnswer: 1318*a**2*i**3 - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 + 40*r**4 - 36*r**3.\nAnswer: -4*r**3*(r - 9)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 153324 divided by -12\nAnswer: -12777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 809 and 0.4?\nAnswer: 808.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -96. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -1113008?\nAnswer: -7\/85616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847) + 1 + 4*(0 + sqrt(847)) + 3*(sqrt(847) + -1)*4*1)**2.\nAnswer: -3388*sqrt(7) + 166133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + o + 1. Let z(c) = 7*c**2 - 8*c + 13. Let w(r) = -5*g(r) - z(r). Factor w(k).\nAnswer: 3*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 m when four letters picked without replacement from immmfmfiriqrrfrq.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 13*h**2 - 73*h - 260. Calculate c(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 80, 151, 260, 413, 616, 875, 1196?\n\"Answer: r**3 + 10*r**2 + 2*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -12\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 1054642016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 242615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - -3.04. Let x = 0.24 - 3.24. Put x, 0.3, v in ascending order.\nAnswer: x, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.3 + -397719108\nAnswer: -397719080.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f**2 - 21*f + 82. Let o be h(-5). Sort 4, -3, 9, 5, o in descending order.\nAnswer: o, 9, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1453424 + -1453423. Let g be (-18)\/8*160\/(-6). Suppose 4*s - g = s. What is the smallest common multiple of s and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*w - 2 = 0, -5*g + 2 = 4*w. Solve -2\/9*k**g - 2\/9 - 4\/9*k = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235523 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -3 (c) -37 (d) 8.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 6*x**2 - x - 1. Let k be b(-6). Let j = k + -10. What is the tens digit of (-12)\/j*(-60)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 11a6?\nAnswer: 11a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:37 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -55, -70, -87, -106?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 266076 divided by -3501\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/24 + 2*g**2. Let a be j(2). Let i(v) be the third derivative of -v**5\/60 - v**3\/3 - v**2. What is i(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36114, 36110, 36104, 36096, 36086, 36074, 36060?\nAnswer: 36044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*y + 24*y + 250. Sort 1, y, -2, -10 in descending order.\nAnswer: 1, -2, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/81)\/x**(-9) assuming x is positive.\nAnswer: x**(727\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 i when four letters picked without replacement from {a: 5, i: 5, m: 8, d: 1}?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 23089.\nAnswer: 23084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 9}. Give prob of picking 3 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p = -4. Suppose -2 = -3*d + 7, 5*q - p*d = 54. Suppose -x + 13 = -q. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-56)\/(-18))\/4*(-90)\/(-20))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd1 + 129?\nAnswer: -ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -258398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -566699211.\nAnswer: -566699202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 8. Let x = m + 2. Calculate the remainder when 144\/(-28)*14\/(-3) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 88.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 4431?\nAnswer: 17724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 685353989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 3*p**2 + p**2 to n*p**2 + m*p + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33696 - 4492. List the prime factors of t.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 13*h**2 - 11*h + 13. What are the prime factors of d(6)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105921.57 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 + -87. Suppose 0 = -v + 2*j + 24 - 1, 3*j + t = 4*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 4*a - 3*a)*(-2*a**2 + 0*a**2 + 0*a**2)*(3*a - 4*a + 4*a) as x*a + i*a**4 + t + z*a**2 + d*a**3 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (393\/(-84) - -5) + (10\/(-5))\/28. Let j = -71\/36 + 20\/9. Suppose u*g**3 - 1\/4 - 1\/4*g + j*g**2 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 19. Suppose 4*x + 4*n + 12 = 0, 0*x - 8 = 2*x + 3*n. Let l be x - (-17 - -3 - -3). What is the units digit of u(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 6472*c\/5 - 5235848\/5.\nAnswer: -2*(c - 1618)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43891?\nAnswer: 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -617 + 612. Let c(z) = 9. Let p(x) = 4. Let m(y) = -3*c(y) + 7*p(y). Let l(q) = -2*q + 6. Suppose -2*f + 4 = 2*f. Give f*l(g) + v*m(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 48 = -0*l - 5*l + 4*q, 0 = 2*q - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/7 + 76*v**4 + 71265*v**3\/7 + 129874*v**2\/7 - 1391780*v\/7 + 1685400\/7 = 0.\nAnswer: -265, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 l, and 1 f when four letters picked without replacement from ftttmtlltatlfa?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105375410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5247644350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/30 + 4*v**4\/27 + 4*v**3\/27 - 7*v + 1. Let i(g) = 0. Calculate g.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 0*d + 5*d)*(-3*d**2 + 3*d**2 + d**2) - 15*d**3 + 34*d**3 + 37*d**3 to the form k*d**2 + o*d + g*d**3 + t and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 151*f + 629. What is o(4)?\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 27*r**2 + 51*r + 123. Calculate a(-11).\nAnswer: -2495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + g + 4)*(0*g - g + 0*g) + (2*g - 3*g - g)*((-g - 7*g - 8*g)*(-7 + 1 + 1) + 7*g - 9*g + 6*g).\nAnswer: -169*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, -0.2, 0.3, 2651, -6.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 0 - (531 + -548)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -9\/102640 (b) 1.6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 670*g + 12320.\nAnswer: 5*(g - 112)*(g - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0 + 0)*(-42756*f**2 - 10559*f**2 - 5*f + 5*f + 5253*f**2 - 2492*f**2).\nAnswer: 50554*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**3\/3 - 19. Let u(b) be the second derivative of 0 - 9*b - 1\/3*b**4 + 0*b**3 + 0*b**2. What is x(u(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221211120 (base 3) in base 7?\nAnswer: 665556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*o**2 + 0 + (-4*o + 3*o - 2*o)*(-3*o + 5*o - o) + 0 + 0 + 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 5*g + 5. Let f(z) = 16*z**2 + 24*z + 31. Let d(v) = -11*v**2 - 16*v - 21. Let i(n) = 7*d(n) + 5*f(n). Determine 8*b(h) - 5*i(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236 - -232. Let d = 796 + -11942\/15. What is the closest to 0.1 in h, -5, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m**3 + 640*m**2 + 44*m - 2823. Calculate r(64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fttttffttttftfftfftf.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 4 + o - 3 + 7*o. Let w(h) = -h - 1. Let c(q) = 11*q + 8. Let s(x) = c(x) + 6*w(x). What is -4*m(a) + 3*s(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 1541910\nAnswer: -22\/770955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrnnhqfv. What is prob of picking 1 v, 1 f, and 1 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*p**3*q - 10*p**3 - 16*p*q + 2*p wrt q.\nAnswer: 4*p**3 - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55420 - 21424?\nAnswer: -121244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 4*p**7\/35 + 41*p**6\/30 - 109*p**5\/15 + 71*p**4\/6 - 6*p**3 - 693*p**2. Factor v(n).\nAnswer: 4*(n - 1)**2*(n + 9)*(6*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -6*h - 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/850020 and -29\/1116.\nAnswer: 2550060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 18 = 17*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1628)\/(-296))\/((2 + 0)\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2\/4 - 6039*q\/2 - 36469521\/4 = 0?\nAnswer: -6039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26354, -27212, -28070?\nAnswer: -28928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/780 and -16\/57?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-4 + 2) - -4. Let f(t) = 10*t - n*t - t + 18*t. Let r(p) = p. What is f(r(c))?\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1060, 1126, 1192, 1258?\n\"Answer: 66*x + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - a**2 + 2*a**2)*(-9974 + 9974 + 20*a) as b*a**2 + m*a + l + h*a**3 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -340, -1086, -2532, -4912, -8460?\nAnswer: -13410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245316 - -4.\nAnswer: -245312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a + 3. Determine m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135670994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 867364 + -2160996. Let s be (-8042691)\/(-9) - 1\/3. Let i = s + f. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 7*z + 8. Let i be j(-7). Let c(n) = 2*n**2 + n - 2. Let d be c(-2). Suppose 5*f = 3*y + i, d*f - 6 = -2. Which is bigger: y or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 2*m + 2*m + (-8 - 42 - 30)*(m - 4*m + m) - 3 + 3 + 2*m to a + p*m and give p.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 + 38*g**2 - 60*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + (-214)\/(-14). Suppose -3*m = -5*v - 6 - 4, 4*m = -3*v - 6. Let j be w\/v*6\/(-9). Solve -j*a = 6 + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205115494 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 86*o**2 - 2*o - 1. Suppose -85 = 5*s - 2*k, -6*k = 2*s - 7*k + 33. Calculate the remainder when n(-1) is divided by 6 + (21\/(-3) - s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*d = 375*d - 210 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26817.\nAnswer: 3, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.4322 tonnes in micrograms?\nAnswer: 680432200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/16 (b) -0.07 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j = 1606*j + 504*j - 30255 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 2700045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1802 + 1944. Solve 6*r + 166 = o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-100168\nAnswer: 300504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2278 + -2278.1. Let r = 12.5 + -13. Which is the closest to -3\/7? (a) r (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 4. Let c be ((-6)\/8)\/((-11)\/44). Let p(u) = 10*u**2 + u - 7. Calculate c*p(g) + 5*n(g).\nAnswer: 5*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-7)\/3)\/((-2)\/(-18)) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277*q**2 + 626*q**2 - 41*q**2)*(-4 + 2 + 1).\nAnswer: -308*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 5*s + s, -t - s + 3 = 0. What is the remainder when (-14)\/(-12)*3*t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008412534335 rounded to 7 decimal places?\nAnswer: -0.0008413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 7. What is the common denominator of x*-2 - 2\/3 and 34\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.336 and 9390977602.\nAnswer: 9390977600.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4596 is divided by 191.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 181021472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 - -177. Let o = -142 - s. Suppose -3*p - 29 = -o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 60 = -3*m, -m - 44 - 68 = -5*w. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - -1 - 1)*(-1)\/(-2). Solve -h = y*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 2*s**2 + 3*s + 2. What is the remainder when 3 is divided by h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -27, -92, -193, -336?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 0*m + m + (-1 - 1 + 1)*(-2*m + 3*m + m) - 10*m + 15*m - 5 + 12*m as d*m + j and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5.31.\nAnswer: -21.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/3 + 5*k**2 + 3*k - 1. Let z be q(10). Solve u + 16 = -z*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35925085 and 735?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*b - 12, -3*t + 2*t = 5*b - 16. Let r = -1 - t. Let h(g) = -66668*g**2 + 5*g - 3. Let p be h(r). Round p to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 6. Let b(p) = -x*p + p - 7 + 9. What is the units digit of b(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20461996 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1086*q**2 + 143*q - 143*q + 187*q**2 - 1243*q**2 in the form j + h*q + w*q**2 and give w.\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:00 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75 - -10?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 246236 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 724736?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 51*t**3 - 4*t - 25*t**3 - 18*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4) + sqrt(20))*3)\/sqrt(10) - (sqrt(18) - sqrt(2592)*1)\/sqrt(9).\nAnswer: 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176) + sqrt(176) + 2*sqrt(176) + 5 - (sqrt(176)*-1 + 3 + (sqrt(176) + sqrt(176)*-1)*-5))*1)**2 + 4.\nAnswer: 80*sqrt(11) + 4408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 33. What is j(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*t**3 - 212*t**3 + 78*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/10)\/y**(-2\/19)*(y**6)**(-4\/13) assuming y is positive.\nAnswer: y**(-4053\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2. Let p(n) = 27*n. Let o(w) = -136*w. Let f(a) = 2*o(a) + 11*p(a). What is k(f(b))?\nAnswer: -1875*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 90 - 96. Suppose -p = 2*q - 0*s + s, -66 = 2*q + 3*s. What is the tens digit of (10\/(-4))\/(5\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 17 = -2. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -4, -0.4, -4\/7, -233, 11, -1\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/15 + 848*d**4\/15 + 40402*d**3\/5 + 2094648*d**2\/5 + 22205664*d\/5 + 57822336\/5 = 0. Calculate d.\nAnswer: -156, -99, -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 3*v**8\/14 + 5*v**4\/6 - 11*v. Find the third derivative of j(q) wrt q.\nAnswer: 1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4364 and 28865678?\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120215187.1531 + -42.\nAnswer: -120215229.1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 + 12480*k**3 - 14601600*k**2 + 7592832000*k - 1480602240000 = 0. What is k?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 + 26\/14. Suppose -2*h - n - 8 = 0, 20 = -0*h - 5*h - 4*n. Which is the fourth smallest value? (a) 3\/4 (b) h (c) y (d) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.134 - -0.864. Let c = b + 1.12. Let o = -0.15 - c. What is the closest to -1 in o, 1, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 26*f - a = 1239579, 0 = -5*f - a + 2065949. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 3*w + 3. Let h(p) = 6*p**2 + 2*p - 2. Let g be h(1). Suppose -f - g = f. What is m(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -4. Differentiate -r*f + 81*f - f + 29 wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37217, -74496, -111827, -149210, -186645, -224132, -261671?\nAnswer: -299262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5678 to 2 decimal places.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*y + 121. Calculate the greatest common factor of 704 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Let g be 8 - -4*42\/7. Suppose 0 = -4*a + 8 + 8, -a = 3*d - 16. Solve -3*u + g = d*r, 0 = -0*u + h*u - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 19*t**2 + 32*t - 30. Let p be l(-23). What are the prime factors of p\/175*(1 + 7 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + 5*s + 2. Let p be h(2). Suppose -x = 4*o - 1920 - 1413, p = x - 5. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = 0, 2*g = 2*w + 4*g - 8. Let z be ((-4)\/w)\/((-5)\/10). Solve z = 3*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*k - 18, -4*k + 285*b + 24 = 287*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -3, -8340, 15, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16730306 less than -0.05?\nAnswer: -16730306.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/618, -2.041, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-3) + (-6)\/(-18). Let d be 159\/12 - 2\/m. Let s = d + -1. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from aauciaaaapuacha?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = l + 18, -2*l - 28 = 4*n. Let r = 22 + l. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66324624 divided by 31.\nAnswer: 2139504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 224\/35 - 4\/10. Solve -5*b = a - 1, 0 = -a + v*a - 4*b - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 40 = -7*c. Factor -8*f**2 - 7*f + c*f + 9*f - 2.\nAnswer: -2*(f - 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16878.1 + 15576. Round z to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/264 and -95\/332552?\nAnswer: 997656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5 - 2*b**4 - 2805839*b**3 - 150774203*b**2.\nAnswer: 300*b**2 - 48*b - 16835034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38663 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*sqrt(45).\nAnswer: -18*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Suppose 3*d + d = 20. Suppose 2*a = -2*f + 14, -d*a + g = 6. Solve 8*k - f = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 - 26*i + 31. Let k(h) = 5*h**2 - 13*h + 15. Let w(x) = 13*k(x) - 6*o(x). What is the remainder when w(-9) is divided by 5\/30 + 411\/18 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 13*i - 0*i. Calculate the least common multiple of i and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753593 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 861726.8ml in litres?\nAnswer: 861.7268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s. Let l(a) = 4244*a**2 - 2. Calculate h(l(t)).\nAnswer: -72148*t**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 10*k - 1. Let n be (2 - (1 - (-7 - -7)))*-3. Let y(u) = u**2 - 20*u + 2. Determine n*y(m) - 5*b(m).\nAnswer: 2*m**2 + 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-7))\/(1\/(16\/(-168))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3\/3532016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 3*w**2 - 16 - w - 5 + 40 - 17*w**3 to a + y*w**3 + u*w**2 + t*w and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 696\/(-24))\/((-3)\/(-5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -2 (c) 2509 (d) -16 (e) 0.06 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 10) to base 2\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w**2 + 2*w - 1. Let n be l(4). Let f = -73 - n. What is the greatest common divisor of 64 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*w = -1506 + 6762 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 + 4*y + 3. Let z = 14 - 9. Let h be c(z). Let d = -27 + h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 14. Let g = m + 6. Put 5, g, 2 in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2210704 - 0.221. Round h to 6 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/2 - 156*r**2 + 21285*r\/2 + 245025 = 0. Calculate r.\nAnswer: -18, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-2)\/3*3. Suppose -3*u - 3*a = -9, -3*u + 3*a = -t*a - 33. What is the least common multiple of u and (-2)\/8 + 13\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 - 16*l - 16. Let b(j) = j**2 - j - 1. Calculate -16*b(c) + s(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1684*d - 17504. Give g(10).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*n - 11 = 0, 2*j + 0*n - 31 = -n. Let z = 31 - j. Let i = 34 - z. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17929*i - 5085 = 18042*i for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**2 + 17*u + 6. Let n(y) = -7*y**2 + 8*y + 3. Give 13*n(z) - 6*v(z).\nAnswer: -z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 40. Suppose 2*x - 5*x = g + 10, 3*x = -2*g - a. Let q = x - -4. Solve q*l + 2*l = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -3) - 1) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/40*(-322330)\/165. Let y = m - 1566\/11. What is the common denominator of -8\/11 and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*p**2 + 4*p**3 + 3*p**2 + p**2 + p**3 wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/11 and (22\/(-4))\/(50\/4 - 0)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79072517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + ((sqrt(208) + 1)**2 - sqrt(208) - sqrt(208)))*6.\nAnswer: 24*sqrt(13) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449918, -449955, -449998, -450047, -450102, -450163?\nAnswer: -450230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 2, p: 5}. What is prob of picking 2 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42675, 170746, 384215, 683082, 1067347, 1537010?\n\"Answer: 42699*w**2 - 26*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 divided by 75347?\nAnswer: 844\/75347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1834 + -16450\/9. What is the common denominator of s and -10*(-1 - (-113)\/126)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111010001011000101 (base 2) to base 14.\nAnswer: 7a7ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Suppose 2*j + 3*j + 5 = 0. Let r be i(j). Suppose 0 = b - 2*s - 165, -r*b = 3*s - 0*s - 323. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.43083 rounded to one decimal place?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -59. Let j = d - 22. What is the nearest to 0.1 in j, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-8))\/((-140)\/(-336))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 1, 4, -4, 169\/12, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -365 equal to -365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 11*o**2 + 37*o + 20. Suppose -26*w - 241 = 149. Does 45 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -9*o**5\/20 - o**4\/12 - 335*o**2 + o. Let p(m) = 5*m. Give z(p(s)).\nAnswer: -675*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 27*n - 18. Solve -k + 5*l = l - 16, -2*k - n*l + 2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -758 at most as big as -2745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*p + 1567, -2*q - 334 - 292 = 2*p. Let n = -310 - q. Calculate the least common multiple of -3 - (-4 - -2) - -10 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 2, a: 4, b: 1, m: 3}. What is prob of picking 1 m, 1 a, and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*f - 26 = 5*y, 5*f = y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-78))\/((16\/(-6))\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u + 2*u**5 + (4*u**4 - 6*u**3 + 6*u**3)*(-3*u - 3*u + 5*u) - 104*u**5 - 536*u**5 + 244*u**5.\nAnswer: -398*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1918\/(-1470) - (-6)\/(-63). Which is the second biggest value? (a) 4 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/9 - 8*i**3\/9 + 2*i**2\/9 + 32*i\/9 + 8\/3 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - -1)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4482 - 20658?\nAnswer: -24b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 5542766643270.\nAnswer: 5542766643269.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from ttjttjjttjttttjjtt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2 + 5*t - 2. Determine n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 768*q - 6. Let t(f) = 767*f - 7. What is -5*j(k) + 4*t(k)?\nAnswer: -772*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5)\/((-108)\/(-120)). Find l such that 0 - p*l - 2*l**2 - 2\/3*l**4 - 2*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314.592 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97 (b) 57 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**24\/j)**(1\/11) assuming j is positive.\nAnswer: j**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040213 (base 6) in base 4?\nAnswer: -30223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {s: 3, c: 4, m: 1}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26252 by 15.\nAnswer: -26252\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27162800 (base 9) to base 10.\nAnswer: -13386546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 27 = 5*g - 1, 2*k = -4*g + 24. What is the least common multiple of 157 and k?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -500. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24614 = 393*s + 17044 for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g + 2. Let b(n) = n**2 - n. Let v(t) = 2*b(t) + y(t). Let u = -1 - -1. What are the prime factors of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -63. Suppose d = r - 40. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 778600*h**2 + 18688560*h + 112135680.\nAnswer: -5*(h - 155744)*(h + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 79. Let q = 39 - f. Let l(b) = -b**3 + 6*b**2 - b - 6. Let z be l(q). What is z rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 2. Let t be a(-2). Does 15 divide t\/18 - (-1209)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 7) to base 9\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2792, -11430, -25950, -46364, -72684?\nAnswer: -104922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5 + 4. What is the tens digit of (-17 + 0)\/(w\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from vpvqvvppqqpvqvq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16818370253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*x + x**4 - 10\/3*x**2 - 7\/3*x**3 - 8\/3.\nAnswer: (x - 2)**2*(x + 2)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 2*j - 7*r, j - 4*r = 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.177 - 9.177. Let g = 12 - 7. Let n be (-18)\/(-45)*g\/8. Which is greater: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by -137396.\nAnswer: 123\/137396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -97, -97, -81, -43, 23, 123?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(-429667*d + 430026*d + 7 - 5) to i*d + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**34*z)\/((z*z**(-1\/45)*z)\/z))**(12\/11) assuming z is positive.\nAnswer: z**(6124\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 17*d**2 - 139*d + 9. What is r(-23)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -143802674.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 - 8*c**3\/3 - 2*c**2. Suppose -8*m = 3*m - 55. Let w be a(m). What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-10 - (-47 + 15)) - (21 + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-25) + (-68)\/80. Let b = 0.4 - -1.6. Let c = -875\/8 + 109. Sort d, b, c.\nAnswer: c, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-570)\/2508)\/(40\/2376)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503458?\nAnswer: 2, 139, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 4)*(-32*w**3 - 3*w + w**2 + 33*w**3 + 2 + 0*w**2).\nAnswer: -13*w**3 - 13*w**2 + 39*w - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, 1 in increasing order.\nAnswer: -118, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 (base 9) in base 5?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6734*m**2 + 6735*m**2 - 2*m - 2*m**4 - 2*m**3 + 3*m to v*m**4 + z*m + t*m**2 + k*m**3 + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6092*n - 2807*n - 3240*n.\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)\/(12\/(-6)). Suppose v = 3*h + h - 132. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shsshsssshhhs. What is prob of picking 3 s and 1 h?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 1964*a**2 - 240096*a - 242064.\nAnswer: -4*(a - 246)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 443*b**3 - 61085*b**2 + 2442925*b + 5133750.\nAnswer: -(b - 185)**2*(b - 75)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (1 - -1 - 0) + (73 - 13)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 1 (c) -30 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - 1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7*d = -50, o + 5626*d = 3*o + 5623*d - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1332*u**2 + 28*u + 66 + 42*u - 116*u + 1333*u**2 + 27*u to a*u + b*u**2 + l and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -177*h**2 - 33. Let v(a) = 11*a**2 + 2. Let u(n) = 2*b(n) + 33*v(n). Let y(c) = 4*c**2. What is u(y(l))?\nAnswer: 144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 13. Let g be d(9). Solve 2 - 10 = g*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, t: 2, l: 1, s: 5, f: 7}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - t**4 + 0*t**4)*(14 - 14 + 7*t) - t**5 + 4*t**4 - 4*t**4.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {t: 3, a: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)*n**(2\/9))**(1\/9) assuming n is positive.\nAnswer: n**(8\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/10 - i**4\/12 + i**2 - 15*i. What is u(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701213 is divided by 30483.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15605 - -0.06815. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 81 = -3*j, 15 = c - 3*j - 18. Suppose 3*u - 41 = -311. What is the units digit of (u\/c)\/((-3)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1393 and -68\/597.\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 3, k: 5, p: 2, x: 3, t: 1}. Give prob of sequence pxpk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*p**2 + 151*p**2 - 14*p**2.\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.54 or 10698?\nAnswer: 10698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 12*b - 28.\nAnswer: (b - 14)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 239.89898 to one dp.\nAnswer: 239.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2320 divided by -5.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -613a9 (base 13) to base 10\nAnswer: -174209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from tvtttfvfvftfvffvvfv.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + 1.87. Let z = i - -0.2. Let v = -2.1 + z. Which is the closest to v? (a) -2 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 33*k - 139. Determine t(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/3 + (1 - 15). Let z(u) be the third derivative of u**5\/60 + u**4\/4 - u**3\/6 - 2*u**2. Calculate z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-10)\/(-22)*(-6)\/(-45)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3034102228?\nAnswer: 2, 4139, 183263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -199*p**5\/10 + 365*p**3\/3 + 198*p. What is the second derivative of d(v) wrt v?\nAnswer: -2388*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s**3\/2 - 21*s**2\/4 + 108*s + 435\/4 = 0 for s.\nAnswer: -5, -1, 29\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4098 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/4*1 - 0. Let g(c) = 2*c + 48. Let i(l) = 6*l + 145. Let q(j) = 8*g(j) - 3*i(j). Let f be q(-24). Put f, o, -2 in ascending order.\nAnswer: o, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44810, 44811, 44812, 44813?\n\"Answer: z + 44809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 43*r = 210. Determine q, given that -r*q - 429*q**2 - 7 + 0 + 229*q + 1 + 276*q = 0.\nAnswer: 2\/143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1570 and 3049730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*m - 10*h + 80 = -203*m, -2*h = m + 16 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1092, -1087, -1080, -1071, -1060, -1047, -1032?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 39 = 45. What is the highest common divisor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hbpgbbbh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 12031?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (110\/22)\/((-5)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - -18)*2\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-10)\/(-5)))\/(5\/(5\/(-1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/1785*-6*-25?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -0.96?\nAnswer: -34.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 96*g**3 - 1 + 2*g - 148*g**3 + 3*g**2 + 118*g**3 to the form p*g + n + k*g**2 + j*g**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1411 - 488. Suppose 4*m - 3*j - r = 382, -m + 2*j = -320. Calculate the highest common factor of m and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + -16 - 10) + (-1 - 2) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42957 is divided by 125?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7377352971?\nAnswer: 3, 23, 641, 166799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (2\/(-10) - 624\/30). Differentiate -71 - 27*u + b - 52*u - 109*u with respect to u.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/160*(-12)\/(-18)*(-155)\/62\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c + 1. Let z(y) = 2*y**3 - 2*y**2 - y - 2. Let a(g) = g**3 + 7*g**2 + 14*g - 13. Let s be a(-10). Let v = -452 - s. Determine v*z(j) + 2*d(j).\nAnswer: 2*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-2 - -1) + -212 + 206\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5))\/(k\/(((k**(-5\/4)*k*k)\/k)\/k)))**(-36)\/(k**(2\/9)*k**(-4)*k**(2\/17)*(k\/(k**(-3\/4)\/k))\/k) assuming k is positive.\nAnswer: k**(138869\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2288*z**3 - 2287*z**3 - 64 - 7*z + 11*z - 4 - 4*z.\nAnswer: z**3 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 2 j when four letters picked without replacement from {b: 1, j: 2, a: 1, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -16748284?\nAnswer: 5\/16748284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 2. Suppose 5408 = -9*m + 61*m. Suppose 2*l = 3*t - 379, -t - j*l + m + 25 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691270 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-12 - 5)) + 4 + 1 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42424*u*w**3 - 3*u*w**2 + 136*u*w + 4*u + 2*w**3 - 18*w**2 - 93*w + 1 wrt w?\nAnswer: 254544*u*w - 6*u + 12*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n + 1. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 7 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 12*v = -2*v. Do -6\/47 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 3*f**3 - 27*f**2 - 53*f. Let s be k(8). What is the highest common factor of s and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 12 = -3*a + 5, 0 = 2*c - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78 and 801680683.901?\nAnswer: 801680761.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:43 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z - 27 = 0. Let u = z - 19\/2. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242623.787 rounded to the nearest 1000?\nAnswer: 3243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-7)\/7*33\/(-9)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**8\/16800 + m**7\/3150 + 7*m**6\/1800 + m**5\/75 + 7*m**4\/12 - 3*m. Let z(i) be the third derivative of p(i). Factor z(j).\nAnswer: -2*(j - 4)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 26. What is m rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(4335\/(-238)))\/((-2)\/(-5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.014 + -32.714. Which is the nearest to 1.2? (a) 4 (b) i (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/5)\/((x*x**(3\/5))\/x) assuming x is positive.\nAnswer: x**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*n + n + d, -4*n + 3*d + 29 = 0. Suppose 2*g - 4*f = -0*f + 128, -4*g = 5*f - 204. Calculate the greatest common divisor of n and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/15 + 859*h**5\/20 - 259*h**4\/12 + 676*h + 2. What is the third derivative of d(l) wrt l?\nAnswer: -48*l + 5154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - 9*v**2 - 5*v - 38. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 11. Let y = -29.09 + s. Round y to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1020339, -2040681, -3061023, -4081365, -5101707?\n\"Answer: -1020342*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 47342\/15 and 3157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*w**3 - 228*w**3 - 8 - 1 + 4.\nAnswer: 2*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4437351*l**4 - 112338*l**3 + 948*l**2 - 8*l\/3 = 0.\nAnswer: 0, 2\/237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 15. Let c be o(6). Let l be 3 + (c - -3) + -4. Is 0 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 7*f**2 + 11*f + 6. Determine h(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238089 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + (-86)\/(-7). Let m = 489 - 461. Let g = o + m. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/8*7)\/((-6)\/(-48)). Let l(b) = -20*b**2 + 8*b + 8. Let m(z) = 7*z**2 - 3*z - 3. What is c*m(j) - 5*l(j)?\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sixths of a day?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15204c (base 13) in base 7?\nAnswer: -4256553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 63744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855?\nAnswer: 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151529426.\nAnswer: 2, 31, 79, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 7253. Let b(s) = 4*s**2. Calculate z(b(f)).\nAnswer: 32*f**4 + 7253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 515945 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344 times -1?\nAnswer: -5344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w + 54. What is v(20)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655385479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:46 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0238 times -0.4?\nAnswer: 0.00952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - y**5 + 0*y**5 + (-7*y**2 + 4*y**2 + 16*y**4 + 11*y**4)*(-6*y - 7*y + 9*y).\nAnswer: -109*y**5 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 38*o**2 - 20*o - 38. Is 29 a factor of t(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 less than 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 455394 minus 7361.8?\nAnswer: 448032.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44)*2 - sqrt(44))) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 4*i**3 - i**3 + (-3*i**3 + 2*i**3 + 2*i**3)*(3 - 7 + 3) + 2*i**3 - i + i - i**3 + i**3 - 2*i**3 + 2*i - 3*i**3 - 6*i + 4*i**3)*(4 - 3 - 4).\nAnswer: -6*i**3 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 + 3856*l**2 - 46484074*l\/5 + 92891044\/5.\nAnswer: -2*(l - 4819)**2*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(27416\/(-1341)))\/(30\/8*1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 5*z**2 + 3*z**2 + (4*z + 3*z - 5*z)*(-2 + 2 + 3*z) + z**2 + 4 - 2 - 3*z**2)*(-161 + 22*z + 166 - 6*z) as u*z**3 + j + i*z**2 + d*z and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 s, and 1 k when four letters picked without replacement from {r: 2, s: 6, l: 2, y: 5, k: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8764 and 16576?\nAnswer: 5188288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1987.2 - 1988.9. Sort 5, b, 0.5, -4 in descending order.\nAnswer: 5, 0.5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130\/35 + (-4)\/(-14). Suppose -3*q + 39 = -5*m, -15 = 3*q - i*m - 54. Let n = q - 8. What is the lowest common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yquyqyydyyad. Give prob of sequence qyu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 + 32*k - 27. Let v(y) = -y**2 + 5*y. What is -c(x) + 6*v(x)?\nAnswer: x**2 - 2*x + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 6) in base 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 3:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4851 and 8064?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + (12 - 1) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(6)\/(-3*sqrt(3)) - sqrt(2)) + sqrt(2)) + 3 - ((-3*(-2 + (sqrt(13) + 0 - sqrt(13))))**2 + -5).\nAnswer: -28 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 590420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 563*k**2 + 2603 with respect to k.\nAnswer: 1126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 500050515 (base 6) to base 3\nAnswer: 120211000011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08018 - 0.08. What is o rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(4 + -1 - 7). Let j = p - -10. Solve -j*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 567\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 5. Let p(d) = 2*d - 2. Suppose -s + 6 = 3*f, 3*s - 1 = -10. Determine f*y(l) + 7*p(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.29 (c) 3\/5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12440 is divided by 3106?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-50))\/(7\/35)*(-12)\/8?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/11)*z**(-2\/3)*(z**6*z)\/z**(-2\/11) assuming z is positive.\nAnswer: z**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-3*(1 + sqrt(5)) + sqrt(5) + 1 + 4 - sqrt(60)\/(1*(sqrt(108) - sqrt(12)))))*2)**2.\nAnswer: 40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 886, -1\/9, -1\/666, 5?\nAnswer: -1\/666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1))\/(-1 + 2). Let d(f) = -f**3 + f**2 + f + 3. Let u be d(j). Differentiate 4*l - 15*l + u*l + 1 wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.50178 - 9.5. Round h to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2\/7 - 472*q\/7 - 13924\/7 = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 17 + j - 4 - 6 - j.\nAnswer: -j - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.14 (b) 5 (c) 4\/13 (d) -6\/13 (e) -0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203*u - 198 = -1185*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-2*sqrt(972))*3 + 3 + 1)**2.\nAnswer: -4*sqrt(2)\/3 + 289\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 516.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n - 21. Let h be v(2). Do h and -158\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*b + 44, b + 5 - 25 = -2*l. Solve 2*g = -5*n - 17, -l*n = -5*g - 15*n - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6093.982 litres?\nAnswer: 6093982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/45 and -107\/30540.\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*33)\/((-2112)\/(-110) + -19). Let m = b + -659\/4. Solve -m*t**3 - t + t**2 + 0 = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 + b + 45. What is g(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 65\/4. Is 0.4 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*r**3 + 5*r**3 + 9*r**3)*(5 - 2 - 1) as o + m*r**2 + g*r**3 + c*r and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssur when four letters picked without replacement from {u: 3, r: 1, s: 12}.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w. Let i(k) = -k - 2. Let n(m) = -2*m - 5. Let r(o) = -5*i(o) + 2*n(o). Give c(r(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/39 - 32\/(-6). Let o be 1\/2*(4 + 2). Let u(c) = c - 5 - o*c**2 + 7*c + 2*c**2 + 0*c. Calculate u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205484 = -71*q + 73*q. Let b be (-28)\/(-210) + q\/(-180). Let j = b - 2846\/5. Calculate the common denominator of 71\/8 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4112, -14926, -32906, -58016, -90220, -129482, -175766?\nAnswer: -229036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 283827169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 239463.6 to the nearest one thousand.\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-16)\/(-68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21475\/182376 - 10\/1341. Let u = 1\/68 + j. What is the second smallest value in -1\/6, -2\/13, 4, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*p**2 - 39*p + 39*p to i*p + x*p**2 + r and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -1151*d**7\/210 + d**4\/12 + 577*d**3\/3 + 1794*d**2. What is the second derivative of j(w) wrt w?\nAnswer: -13812*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/1311)\/((-2)\/12).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:20 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 750 = 2*l, -6 = 16*p - 19*p. Calculate the lowest common multiple of 93 and l.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -92648 (b) 0 (c) -2 (d) -10 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsh when three letters picked without replacement from {q: 1, j: 5, h: 9, g: 1, s: 2}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 4*z - 6*z - 3*z + 5*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 211111*n**3 - n**2 + 3*n + 3. Let y be t(3). Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 8\/15 (b) -3 (c) -0.1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 6. Suppose 4 + 14 = -6*a. Let w be t(a). What are the prime factors of -142*(-3)\/w*4?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 + 3*a**5 + 3*a**5 + (-9 + 6 - 1)*(a**5 + 0*a**5 - 3*a**5 + 5*a**2 - 5*a**2 + a**5 + (-1 - 2*a + 1)*(a**4 + 3*a**4 - 5*a**4)).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6219 + -0.3781. Which is the third biggest value? (a) -5 (b) q (c) 1\/9 (d) -4\/7 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23832 + -23824. Solve 4*r = -v, -7*n - 2*r - 4 = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {r: 10, l: 3, a: 2, o: 3, d: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/8)\/(w*(w*w**9*w)\/w))\/((w\/w**(1\/2))\/(w**6\/w)) assuming w is positive.\nAnswer: w**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Suppose -6 = -4*n - 2. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8268 - 8271 + 24812 - 8273 + 569*x**2.\nAnswer: 569*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 23*p - 206. Let x be a(7). Calculate the greatest common divisor of x and 3519.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202669 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1\/6 (c) 1.16547 (d) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 0*b**6 - 60*b**6 - 7*b**2 + 8*b**6 wrt b.\nAnswer: -6240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7769, -2, -15 in decreasing order.\nAnswer: 7769, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130080 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42558, 85119, 127680?\nAnswer: 170241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2532 and 870204.\nAnswer: 183613044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/4 or -2189?\nAnswer: -2189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 442147.804 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 1 + 1 + (-h**2 - 2*h + 2*h)*(4 - 4 - 2*h) + 4*h**3 - 4*h**3 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 21*g**2\/5 + 1002*g\/5 + 1665 = 0?\nAnswer: -37, -75\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*f + 250*f + 276*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244187 - 74232933\/304. Find the common denominator of f and 71\/342.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*v + 65, 0 = -4*v - 0*t + t + 27. Let g(w) = -w**3 + 9*w**2 - 8*w - 5. Let s be g(v). Which is the closest to 0? (a) 4 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26 (b) -0.3307 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -t - 3*u, 5*t - 13*t + u + 8562 - 8509 = -12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*g + 22. Let a = g + -41. Does 9 divide (2 - a)\/(8\/432)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.026 - 7.674. Let i = j - 0.3. What is the smallest value in i, 1\/3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - (-4436388)\/5. Let n be ((-4)\/3)\/(2\/(-6)). Suppose -n*o - 3527278 + l = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -13 (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d, -3*o - 3*d + d + 209 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.07 (b) -39 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 1. Let j be a(-1). Suppose 95 = 5*k + 2*b, -j*b + 7 + 18 = 0. Suppose 5*u = 5*g - 85, -g + 5*u + k = -4. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98672 divided by -13?\nAnswer: -98672\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 20. Suppose 5*c = 6*c + g. Let v(o) = -o**2 - 5*o - 9. Let i be v(c). Let b(q) = -q - 5. Calculate b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.39 times -13082\nAnswer: 57429.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(720\/(-136))*15\/5*2\/102\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:12 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9055 + -54211\/6. Suppose -2*n = 5*u - 14, 3*u + 2*u - 32 = 4*n. What is the common denominator of k and 3 - u - 162\/44?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 = 2*u - 3*i, 2*u - i = 19. Is (-53)\/(-2)*(-8 + u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4025 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 16, -7, -2\/7, 2\/9 in descending order.\nAnswer: 16, 7, 2\/9, -2\/7, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25890.06 minutes?\nAnswer: 431.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/501, 0.1, -5, 14, 1\/2, 5 in decreasing order.\nAnswer: 14, 5, 1\/2, 0.1, 2\/501, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2608144, -5216282, -7824422, -10432564, -13040708?\n\"Answer: -y**2 - 2608135*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -17*c + 1. Let g be s(-1). Let f(b) = 2*b - 20. Let p be f(15). Suppose -9*v = p*v - 684. Calculate the greatest common divisor of v and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssppppbpbspc. Give prob of sequence pb.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*g)**(-48)\/(g**(-1\/3)\/g*g)**50 assuming g is positive.\nAnswer: g**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -950 - -994. Calculate the highest common divisor of h and 4642.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206 - 204. What is the third derivative of -8*y**4 - 42*y**2 - 30*y**n + 24*y**2 - 4*y**2 wrt y?\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3 - 6*p - 3019. What is q(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 42. Let t(r) = -2*r - 15. Let g be t(q). Solve 5*f + 0 - g = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/9))\/(r**12\/r)*r**(-1\/5)*r**14)**(12\/13) assuming r is positive.\nAnswer: r**(644\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 635683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -76\/3*s**2 - 8\/3*s**4 + 32\/3*s + 18*s**3 - 2\/3*s**5 + 0 = 0.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11076, -10783, -10490, -10197?\nAnswer: -9904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2277\/107 - 880497\/41195. Find the common denominator of k and -97\/50.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - 101?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41577, 41576, 41575, 41574?\nAnswer: 41573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 5, -1, 17\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 101, -3, -1, -2, 156 in ascending order.\nAnswer: -3, -2, -1, 5, 101, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let r(m) = 4*m - 2. Let c be (-15)\/(-9) + (-6)\/9. Let f(k) = c*r(k) - 5*t(k). What is f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 179. Suppose -2*i + 60 + n = 0. What is i rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23342 + 9453514\/405. Which is the biggest value? (a) 1 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197139730.\nAnswer: 2, 5, 3733, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1059744 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 r when four letters picked without replacement from {h: 3, i: 2, r: 6, b: 1, y: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 1509*m**3 + 14841*m**2 - 25167*m + 11832.\nAnswer: 3*(m - 493)*(m - 8)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430 and 1260.\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-367*m - 88*m - 360*m)*(m + 0*m + 2*m).\nAnswer: -2445*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-203)\/70 - 48928\/278080.\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1264*d - 1255*d - 108 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let p(k) = 5*k - 3. Let b(r) = -4*d(r) + p(r). Let w be b(10). Solve -4*f - 5*v + 4 + 1 = 0, w*f = -3*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 212 = -3*k, -241 - 1 = -5*v + 2*k. Solve 0 = -10*m - 0*m - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -4. Let w = -22111\/74 + 597\/2. Let r = w + 239\/555. What is the biggest value in 2\/25, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let d be 5 + -12 + 0 + 1. Let s(v) = 2*v + 3. Let g(a) = d*s(a) - 11*l(a). Let j be 2 - (-6 + 3 - 0). Give g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -999 - -1481. Suppose -10*w + 18 = -s. Calculate the highest common factor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j + 10. Suppose 0*u = 2*u - 2*p - 2, 2*p + 17 = -3*u. Let w(y) = -2*y + 2. Let d(s) = u*t(s) + 14*w(s). Give d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5643585 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (420\/36 + 15)\/((-22)\/(-3)). Suppose 4*k = -k - 5*t + 55, 5*k - 51 = -3*t. Suppose -2*a = 0, 0*g - 3*a = -3*g + k. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -2123?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + -86 + (-12 - -1) + (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 115*d - 210.\nAnswer: -5*(d - 21)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4365057 less than 207?\nAnswer: 4365264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 - m**2 + 2*m**2)*(-97 + 424 + 241 + 135)*(-m - m + m)*(m - 4*m + m) to the form l*m**4 + t*m**3 + b + x*m**2 + k*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 3*v, j + 4*v = 8. Let k be ((-12)\/j)\/(9\/(-30)). Let x(c) = -7*c - 7. Give x(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31737 is divided by 814?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0097 - 0.009700214. Round p to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -409\/3. Which is the second biggest value? (a) -2\/3 (b) v (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/(-10))\/((-62)\/(-10) + -6). Calculate the greatest common factor of v and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slvw when four letters picked without replacement from evlrlsvrwseeesvsere?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -59*u - 1. Let r be p(-1). Suppose 0 = -5*x + 17 + r. Solve -g - 2*g = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y + 8*y - 16*y + 32*y**2 to u*y + a*y**2 + v and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, 18, -15, -70, -153, -270, -427, -630?\n\"Answer: -w**3 - 2*w**2 - 4*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*r + 881*r - 150640 = -474*r for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa + -1?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26418711 by 8806237.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -1*(-2 - -4). Let d(s) = s**2 + 7*s - 3. Let g be d(-8). Solve -11 = -x - 2*n - 0, -v*n = g*x - 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15151142341 + 5?\nAnswer: 15151142350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10547128 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*g + 116*g - 1650 + 579 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*n - 9*n = 559, 5*p - 2730 = 2*n. What is the highest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:32 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 36 = -2*k. Let r = -21 + k. Let t = r - -2. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, d: 6}. Give prob of picking 3 f.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 32 = 14*s - 4*j, 5*s = j - 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 - 82*w - 98. Give d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 - 48*u**3 - 234*u**2 - 336*u - 147 = 0. What is u?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.721572794 rounded to one dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 60 = k, -2*c = -0*k + 4*k + 184. Suppose -3*g = 4*f - 6, 23*g - 25*g - 2*f = -6. Let b be (-4)\/g + (-14)\/k. Are 0.1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + q + 10 = -49, 2*q = -o + 8. What is the remainder when 25 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3. Calculate q(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466652.4 months in millennia?\nAnswer: 38.8877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-812)*219\/(-1533)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*g**3 + 73*g - 73*g.\nAnswer: 76*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38946.6063us to weeks.\nAnswer: 0.00000006439584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150102*b**4 - 2*b**3 + b**2 - 22*b + 229894.\nAnswer: -1801224*b**2 - 12*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.126 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 428\/52002*(-198)\/176\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**6\/120 + x**5\/2 - 209*x**4\/48 + 85*x**3\/12 + 2*x + 8179. Factor n(q).\nAnswer: -q*(q - 34)*(q - 5)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from dudududuuuuduuuudu?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.752941 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let y(g) = -7*g + 8. Let u(x) = 6*b(x) - y(x). Let q = -19 + -26. Let v = q + 51. What is u(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.052 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3687 (base 9) to base 6\nAnswer: -20424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/7*-4*(-63)\/24. Let o be -1*(-1 - -7 - b). Solve 0 = 4*x + 4*h + 8, 3*x + x - 5*h + 35 = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 7*t = 2*s - 6, 5*s - 4*t = 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/270 + 1\/(-5)*1. What is the second biggest value in 5, i, -1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -97 and 0.211042072.\nAnswer: -96.788957928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -20 + -2 + -35 + 23 + 16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxpxxxxppxpxxxx. Give prob of picking 4 x.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q + 20. Let u = -11 - -17. Is x(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.23929 milliseconds in microseconds?\nAnswer: 10239.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142313 rounded to the nearest 1000?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89184300 * -0.1.\nAnswer: 8918430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 50 = -2*n - 16*p - 23, n - 2*p + 5*p = 191 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.08 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606228715 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + a + 3*a**3 - 2 + a**2 - 5*a**3 + 3*a**4 in the form h*a**4 + r*a**2 + w*a + k*a**3 + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -148, -18 in descending order.\nAnswer: -5, -18, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6054.002 minutes?\nAnswer: 363240120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 15 - 1 = 0. Let g be -4 - (j + (2 - 80)). Suppose 4*d - 3*i = -g, d = -3*i + 5*i - 24. Is d at least -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 6 - 1 - 2*n. Let p be h(6). Let w(v) = -v**2 + 5*v + 7. What is the lowest common multiple of w(p) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1105*w**3 + 11*w**2 + 19*w + 8. What is the remainder when b(-2) is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 8. Let i be s(-12). Suppose w - v + 2*v = i, -30 = -w - 2*v. What is the remainder when 51 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.1, -23, 0.1, -9 in increasing order.\nAnswer: -23, -9, -3\/7, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 124 + 74 = -5*v, 13*v + 2*u = 8*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34699, 40008, 48857, 61246?\n\"Answer: 1770*p**2 - p + 32930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -630 + 2360428?\nAnswer: 2359798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -42 + 112. Suppose 26 = 3*p - 4*z, 4*z - 8 = 2*z. What is the smallest common multiple of o and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 7, n: 1, t: 3}. What is prob of picking 1 x and 1 t?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 960\/144*(49\/(-5) - -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 59. What is the third derivative of 4*w**4 + 5*w**4 + 4*w**2 - x*w**4 + 7*w**4 wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -641*v - 581870 + 6727778. List the prime factors of v.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from tsgttssgttsgs?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-117)\/(-286) + 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -210. Suppose 5*n = -j, 5*n - 28 = 5*s - 73. Calculate the greatest common divisor of s and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 403064*l + 3 + 2.\nAnswer: 403064*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*b = 12, 9 + 1 = -a + 4*b. Suppose -4*z + 21 + 19 = 0. Solve 2*o + z = a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*p**3 + 155*p**3 + 11*p**3 + 91*p**3 - 203*p**3 + 184*p**3.\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864037178.\nAnswer: 2, 3, 4799, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/438 and 37\/2391042?\nAnswer: 2391042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10 + 42*d - 41*d + 3.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from nttttntnnnnn?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - 2.275. Let y = i + -0.025. Let g = -211\/5 + 42. Which is the closest to -1\/2? (a) g (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*k + 12226 + 3197 + 1597. Which is greater: k or -116?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.08, -3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**5 + 30*v**3 + 56*v wrt v.\nAnswer: -20*v**3 + 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 568960975.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 less than -36457808?\nAnswer: -36456911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2271 + -2271. What is the nearest to -1\/4 in g, -1, -1\/3, 91?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-506.9\nAnswer: 253.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 0.4, 2\/15, 165?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 2261, -2\/9, 4, 3, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4142131 + 3?\nAnswer: 4142134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1690304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 13*u - 13*u = 3*g + 190 - 362, -4*g = -5*u + 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 4*q**2 + 0*q**2)*(-264*q - 15 + 15 + 39*q - 576*q - 9*q).\nAnswer: -2430*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 716674.7t?\nAnswer: 716674700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*8\/(-16)*-3. Solve 4*v - 9 = -s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14071.11 months to years.\nAnswer: 1172.5925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4\/5 (c) -4 (d) 10 (e) -84 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - g**2 - 2*g + 2. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868104 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5850751?\nAnswer: 5850751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by 91.\nAnswer: -864\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/w**(-10))**(1\/2)*w**(3\/10)\/w**(5\/6)*((w*w**6)\/w*w*w)\/(w*w**(2\/5)) assuming w is positive.\nAnswer: w**(1177\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.05 (c) -0.1 (d) 33 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 2*g + 27, 4*g = -2*j + 30. Calculate the greatest common divisor of 28 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -5, 2.8, 3731, -3, -2\/9, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(12)\/sqrt(6)*-2))\/(sqrt(49)\/((sqrt(42) - sqrt(42)*-2)\/sqrt(6))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1237 + 1231. Put 1, -2, a in increasing order.\nAnswer: a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 19 + 22*i**2 - 14*i**2 - 19 to the form d + v*i + j*i**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -2\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 22*b - 3690*b**3 - 3813*b**3 - 4*b + 7447*b**3.\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 39 = -5*z, 2*o + 13 = 3*o + 3*z. Let a be -1 - (2 + (-52)\/2). Let l = a - o. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383210555?\nAnswer: 5, 7, 13, 163, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 34. Let r be z(-7). Suppose -r*f + 28 = -f. Solve -l + f*s - 21 = 0, 18 = 2*l + s + 3*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-5)\/75)\/((-6)\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(36\/(-20)) - 4. Sort -5, u, 5.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 - 44*a = 0. Calculate a.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2510 + 405523?\nAnswer: 412433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:18 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -31. Let o be (-2)\/10 + j\/(-10). What is the closest to 3 in -1\/2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and 410.\nAnswer: -32800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1407*f**3*t**3 - 1658*f**2 - 2*t**3 wrt f.\nAnswer: 8442*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5184454 to the nearest 10000.\nAnswer: -5180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 6*d**2 - 2*d**2 + (1 + 4 - 2 + (5 - 3 + 0)*(0 + 3 - 2) - 1 - 4 + 2)*(-2*d - 3 + 3)*(-2*d - d + d) as y*d + w + g*d**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -5 + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 15*r**4 + 3*r**5 + 14*r**3 - 979*r**2 + 979*r**2.\nAnswer: 3*r**3*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1526*q**2 - 768*q**2 + 20*q - 763*q**2 + 23*q to the form r*q**2 + x*q + n and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67886995.79 - 0.12.\nAnswer: 67886995.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 2*o**2 + 2*o. Let r be -2 - -6 - 1 - -4. Suppose 6*k - k = -4*t - r, -2*k = 2*t + 2. List the prime factors of y(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26367955 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b - 184. What is n(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/((-756)\/20408) + 2 + 5\/(-3). What is the highest common factor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6685 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 2*t + 4. Let p(v) = -3*v**2 + 2*v + 4. Let b(m) = -3*p(m) + 4*q(m). Let d = 59 + -24. What is the remainder when d is divided by b(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-31476)\/(-473))\/(-61))\/((-2)\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31830 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, i: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18859 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11327 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -624*t - 57 - t**3 + 624*t - 3*t**2 to y + f*t**2 + b*t**3 + i*t and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 8 - 3*y**2 - 9 - 4*y to the form p*y + h + w*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 2*d - 6, 2 = -2*h + 4*d. Suppose -h*j + 130 - 30 = 0. Calculate the least common multiple of j and 62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:11 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 + (-5 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8cb0 (base 14) to base 7\nAnswer: 131210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 0.3. Let i = -4.7 - -2. Let w = -3 - i. What is the biggest value in w, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33738659 to the nearest 100000.\nAnswer: 33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1808e (base 15) to base 6.\nAnswer: -1355555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -48. Sort o, 2\/5, -5, 2 in descending order.\nAnswer: 2, 2\/5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 16*f**2 - 42*f. Let n(y) = 2*y**3 - 16*y**2 + 40*y. Let j(p) = -5*n(p) - 4*s(p). Find q, given that j(q) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -563, -566, -571, -578, -587, -598, -611?\n\"Answer: -d**2 - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Suppose -2 - 4 = -3*i. Suppose -4 = -i*f - 2*f. Let m(r) = -10*r. Determine f*m(q) + 8*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*w**2 - 143*w**2 + 11*w - 2*w**3 + 432*w - 432*w - 13*w**3 + (w + 4*w - 3*w)*(0*w + 0*w - w**2))*((-2 + 1 + 0)*(-3 - 2 + 6) - 4 + 5 - 2).\nAnswer: 34*w**3 - 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1184 and 8806.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -28\/53?\nAnswer: -28\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = -20. Let r(t) = -236*t + 35. Let g(a) = 949*a - 138. Let y(d) = 2*g(d) + 9*r(d). Is y(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 9*p + 17. What is the lowest common multiple of t(7) and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**6\/18 - 2*v**5\/5 + 5*v**4\/12 - 408. Find k, given that z(k) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(60)\/sqrt(3) + ((sqrt(605) + -1)*4)**2.\nAnswer: -362*sqrt(5) + 9696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*b + 3*b - 43, -9 = -3*b. Let i(t) = -14*t + 16. Suppose r + 12 = 3*r. Let v(w) = -5*w + 5. Let z(q) = r*i(q) + x*v(q). Give z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 42 = 3*t, 3*t - 37 = -2*y - 13. Is 3 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 256*f - 244. Let u be d(1). Solve 5*x + 4*y = -u, -5*y + 4 = -3*x - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116378951 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233675?\nAnswer: 5, 129347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 - 13*q + 69. Let w(u) = 16*u**2 + 24*u - 133. Calculate 11*j(g) + 6*w(g).\nAnswer: 8*g**2 + g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 6*q + 3. Let o be d(6). Suppose 5*z + 10 = 3*i, -3*i + 6 = o*z + 36. Is z at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442265169 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 3. Let j be a(-5). Suppose 3*u - k + 8 = 7*u, -4*k = 4*u - 8. Let s = u - j. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32373.\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q + 2*z - 4, 4*z = -3*q + 17. What are the prime factors of q\/2*(-4 - 402\/(-9))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c + 52*c - 6 = -3*x, 5*x - c - 18 = 0. What is the remainder when (-9)\/(-36) + 134\/8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5*a - 4. Let c be u(6). Suppose 5*o = c + 3. Is (-68 + o)\/(-1)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*k + 7, -4*k + 5 = 5*l + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/3206808 and 29\/388704.\nAnswer: 12827232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*o + 1 - 3, 0 = -3*o. Let r = 10 - x. Suppose 2*k - 3 = -5*u, 2*u = 2*k - 2 - r. Calculate the least common multiple of 22 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:55 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6432600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**2 - 22*f + 3. Let t(h) = -12*h**2 - 21*h + 3. Calculate -5*r(o) + 6*t(o).\nAnswer: -2*o**2 - 16*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14105088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*z + 255*z - 1455. What is the remainder when z is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 3, d: 3, v: 4, e: 3, y: 4}. What is prob of sequence ydge?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 165581356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by -352\nAnswer: -29\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*106251.\nAnswer: -10093845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -1 - -1 - -1303. Let l = m + -603. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - p**4 - 2*p**4 + (0*p**3 - p**3 + 6*p**3)*(p - 2*p - 3*p) + 0*p**2 - 6*p**4 + 0*p**2.\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5453 = -y - 4*x, -3*y - 11*x = -7*x - 16359. What are the prime factors of y?\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -34*p**2 + 33. Let x(a) = 11*a**2 - 11. Let n(s) = 3*u(s) + 8*x(s). Find the first derivative of n(c) wrt c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7 + 2*h + 2*h + 2. Let l(n) = -n + 7. Let a(k) = -4*k + 22. Let j(t) = -3*a(t) + 10*l(t). Give 7*j(s) - 3*m(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6401325208 - 858*q + 4*q**3 - 2*q**3 + 6401325208.\nAnswer: 2*q**3 - 858*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/10)\/(1\/2). Suppose -2*n + 0*n = -4. Is 74\/i*(n + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15484*n - 15484*n + 26*n**2)*(-44*n - 42*n + 84*n - 37) in the form f*n**2 + v + s*n**3 + i*n and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115873, -115874, -115875, -115876?\nAnswer: -115877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - b = -q + 2, 4*b = 3*q - 3. Calculate the lowest common multiple of 36 and (-30685)\/(-510) - ((-2)\/(-12))\/q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2. Let c(u) = -4*u. What is b(c(y))?\nAnswer: -160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.22093kg in grams?\nAnswer: 31220.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 188 = 4*s, -5*m - 239 = -5*s - m. Find the common denominator of s\/6*2\/(-14) and 137\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m**2 + 4*m + 2. Let s(n) = n. Determine 5*s(x) - y(x).\nAnswer: -11*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 8\/5*k**5 + 0*k + 0*k**4 + 6 + 7\/3*k**3 + 0*k**2. Find the third derivative of x(z) wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**4 + 20*c**3 + 389*c**2 - 6*c - 6. Let r(y) = -2*y**4 + y**3 + y**2 - y - 1. Let p(t) = q(t) - 6*r(t). Find the third derivative of p(a) wrt a.\nAnswer: 216*a + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2\/5*m**5 + 2*m**4 - 7\/2*m**3 - m - 1 + 11\/4*m**2. Let d(s) = 0. Calculate s.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 4752?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(147) - (1*sqrt(147) + sqrt(147)) - sqrt(9)\/sqrt(3)*-5).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/5 + 39\/20. Suppose 1 = -2*g - 1. Let q be 0 + -1 + (1 - g). Put q, d, -5\/3 in increasing order.\nAnswer: -5\/3, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18793 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + (2 - (8 - 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:33 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 217.\nAnswer: -153\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 12 - 9 - 30 + 0 - 4)*(27*j - 36*j + 29*j).\nAnswer: -1440*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(2312\/153)*8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 165*h - 473. Calculate r(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78230.8227959 - 78301.8228. Let n = f - -71. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14233449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3919 - -3919.3. Which is the third smallest value? (a) 0.7469 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 25063*c\/5 - 100236\/5.\nAnswer: -(c - 25059)*(c - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 356)\/(-1)*(3\/1)\/6. Solve -59*v + g*v - 1044 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23054867569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a + 0*a - 2*a - 8*a - 9*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-2)\/(-288))\/(-1)) - 4. Let o be i\/14 + -2 + -2. What is the tens digit of ((-6)\/1)\/(o\/(-285))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s**2 + 7 - 7 + (0 + 3 + 0)*(s**2 - 5*s**2 + 2*s**2).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*r + 541 = -6232, 13*r + 13 = 0. What is the remainder when o is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*v = 105*v - 903 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1514.\nAnswer: 605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 2*n**2 - 10*n**2 - 6*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/927 - (-869880)\/(-13596)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = -22*r - 36*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 - 352*n + 148. Calculate w(66).\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 2610?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)\/(-4) - (0 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - -1?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 4*k + 1, -380*w = -377*w - 2*k - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1)\/c)**(-6\/11)*((c\/(c**0*c))\/c)\/c**6)**(-44))**(-4\/13) assuming c is positive.\nAnswer: c**(-1136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from {b: 3, h: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303 and 1132917?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4748 - 2754. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325213a (base 11) in base 6?\nAnswer: 322240120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 8*b - 2. Let p be h(-3). Suppose p = 4*f - 31. Let c(s) = -71*s - 65. What is the smallest common multiple of f and c(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8866\/(-310) + 31)\/((-28)\/(-30))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13365.9 + 13366. What is the closest to -2 in 0, -26, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 97114\nAnswer: -57\/97114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Solve 3*f + 10 = a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 67 = 5*v. Suppose 37 = 5*n - u, -3*n + 5*n - 2*u = v. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**7\/21 + 22*d**3\/3 - 6*d**2 - 19. Let o(y) be the second derivative of u(y). Differentiate o(r) with respect to r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*u**2 - u + u + 2*u to the form i + v*u**2 + f*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y**3 + 0 + 0*y**2 + 0*y - 1\/4*y**4.\nAnswer: -y**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d**2 - d. Let t(z) = 2*z**3 - 5*z**2 - 5*z. Calculate 5*k(s) - t(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 495\/(-25) + -3 - (-12)\/15\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2002 + -24010?\nAnswer: -31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -13, 58 in increasing order.\nAnswer: -13, 0.1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -147*u + 151*u + 13, -104 = -u - 9*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -32*z + 3. Determine f(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r = -11*r - 396 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 13. Suppose t - 3*t + 3 = -d, t + p = 3*d. Suppose -t*r = 3*q, 2*q = 2 - 6. Solve -r*u - 1 = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -1\/4, -0.2, 17, -20, 6.\nAnswer: -20, -1\/4, -0.2, 5, 6, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -6 - (-105 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 12840\/(-28) + (-6)\/14. What is the common denominator of (-7)\/(392\/a) + 0 and 91\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21*g**3 + 2974*g**2 + 2976*g. What is r(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 7 - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72, 85, 98, 111, 124, 137?\n\"Answer: 13*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -9. Suppose 7*u + 3*l = 8*u + 4, 0 = 5*l - 10. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728926?\nAnswer: 2, 3, 151607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 0.4. Let t = -3332 - -3331.7. What is the third smallest value in 0.2, o, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - sqrt(245)*1) + 5 + sqrt(245) + sqrt(245)*5*5 + -2 + -5)**2*1.\nAnswer: -728*sqrt(5) + 165624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 481*b - 141. What are the prime factors of c(36)?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let l be (-1)\/(-2 + (-21)\/(-12)). Let f be l\/10 - 36\/(-10). Solve q*z = -5*j - 23, -j + 4*j + f*z = -11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 - 8 = 0. Suppose -6 = 2*w, -5*l + w = -4 + 21. Let z be (s\/(-12))\/((-1)\/l). Put 2\/7, 1\/4, z in descending order.\nAnswer: z, 2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 65991b?\nAnswer: -659917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, -7, -3 in descending order.\nAnswer: -2\/37, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -24*p - 17. Let t be ((-5)\/((-75)\/(-85)))\/(p\/6). Suppose 38*g - 20 = t*g. Solve -g*m + 25 = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9 + 4*m - 5*m + 0*m. Let r be q(-7). What is the units digit of 4 - (-2 + (0 - r))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eses when four letters picked without replacement from {s: 7, e: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -59. Let w be 45228\/30 + 2\/s. Suppose w = 3*c - 5*a, 4*c - 3*a = -c + 2508. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 386*h**2 + 6061*h - 18514. What is o(401)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.1961 millilitres in litres?\nAnswer: 0.6991961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3056 and 26223536.\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q + q + 0*q - q - 6*q. Let t(g) = -1386*g. Calculate o(t(v)).\nAnswer: -2772*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (9 + -19 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027164 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1084\/3 + 1082\/3. What is the nearest to m in -14, -7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36204 or -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1 + (-260)\/(-12))*21\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c + 3. Let r(v) = -2*v**2 + 27997*v - 1. What is f(r(l))?\nAnswer: -12*l**2 + 167982*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7577148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -5, -1, -34, -4, -9 in descending order.\nAnswer: 1, -1, -4, -5, -9, -17, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 4*x - 6. Let w be l(-5). Let p be (-1)\/7 + 9\/63 - 72. Let j = p - w. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 13) in base 6?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424*(-60)\/(-192)*(-8)\/(-20)*1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 10*h + 5. Let o be i(-10). Suppose 53*x - 49*x - 47 = 5*d, -x + o*d + 23 = 0. Solve 5*m + 3 - x = 0, 3*k - 3*m = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4195196 divided by 28\nAnswer: -1048799\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c46b (base 15) to base 16.\nAnswer: -132c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 22*f - 4*f - 16*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -3\/14 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2788386087 to the nearest integer?\nAnswer: 52805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24656234, 24656233, 24656232, 24656231?\n\"Answer: -x + 24656235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 + 6*c - 8. Let b be t(6). Let n be 33\/(-4) + 6\/b. Let h = n + 15. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659 = -27*o + 1335 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b. Let s = -9 + 6. Let x(o) = 14*o. Let k(a) = s*x(a) - 8*d(a). Let r(l) = 10*l - 3*l - 5*l. Calculate r(k(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -983, 34, -34.\nAnswer: -983, -34, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38018 + 342160\/9. What is the third biggest value in 2, -0.015, 1.7, u?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 + w + 2. Let k(p) = 46*p**2 + 3*p + 6. Let n(y) = 2*k(y) - 6*u(y). Let o(z) be the third derivative of -z**4\/12 - 3*z**2. Determine o(n(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (1*6)\/3. Suppose 5 = t - i*l + 2*l, -2*l = -5*t + 28. Let s = 1652 - 1650. Solve -t*r + 8 = -s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/4, 32, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -762 smaller than -762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 1. Let v(g) = 5*g. What is -q(y) - v(y)?\nAnswer: -y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 5*k - 10. Let g be t(7). Suppose -6*m + 20 = g*m. Differentiate 39*r - 22*r + m*r**4 - 1 - 17*r wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1057 and 21608251?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 - 2*r**5 + 5*r + 6*r**5 wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.02. Let n = 4 + -3.2. Let k = n + p. What is the third biggest value in 2, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 2. Let v be d(-2). Let a be (-4)\/v + (-34)\/(-3). Calculate the highest common divisor of 132 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.19 - -4.51. What is y rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*y - 828*y + 417*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10a - 4?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -548454.183 + 548898. Let m = -444 + r. Let b = m - -0.029. Round b to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253911098, -507822197, -761733296, -1015644395, -1269555494?\nAnswer: -1523466593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5507 - 5147. Calculate the smallest common multiple of 80 and v.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 312613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 - -94. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/27 (b) 1355 (c) 8\/43 (d) 1\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74720 = -7*v + 47*v. What are the prime factors of v?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141628387079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*i*u**2 - 17*d*u**2 + 7*d*u + i*u**2 + 9*i*u wrt u.\nAnswer: 2*d*i - 34*d + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-36)*6\/(-4). Is t <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - 5\/((-35)\/(-204)) - 4520\/(-3955)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3130, 3121, 3098, 3055, 2986, 2885, 2746, 2563?\n\"Answer: -n**3 - n**2 + n + 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83738 + 83739. Let z be 1 - (3 - 2 - 4). Solve k = -5*h - z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 150 - 31 + 464.\nAnswer: -r + 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6175378 to the nearest integer?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2990?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13634784 by 774.\nAnswer: -17616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 + 4 = -27*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75143\/2 or -37573?\nAnswer: -37573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -106\/41, -12, 5, -59 in increasing order.\nAnswer: -59, -12, -106\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19, 5, 7, -0.13, -28?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132843025.\nAnswer: 5, 7, 759103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -499 + -1357?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 15. Let z be r(10). Let x(a) = 4*a**2 - 4. Let o(w) = 9*w**2 - 9. Let c(k) = z*x(k) + 2*o(k). Find l such that c(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8530, 8510, 8488, 8464, 8438?\n\"Answer: -f**2 - 17*f + 8548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13644086 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/105 - 4\/6. What is the closest to d in 26, 4\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19309 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 21\/(-6))*2. Sort -5, 2, u in ascending order.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1742255974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -481668, -481676, -481698, -481740, -481808?\n\"Answer: -v**3 - v**2 + 2*v - 481668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2*h**2 + 2*h)*(12 - 12 - 3*h + 5*h + h - 5*h + (0*h + 5*h - 2*h)*(2 - 1 + 0) + 5*h - 2*h + 0*h) to x*h + z*h**3 + c + k*h**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((-42 - (-6 + 6 - -13)) + -6).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103434 (base 5) to base 11.\nAnswer: -13505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 21, 1, -112, -3, -15 in descending order.\nAnswer: 21, 7, 1, -3, -4, -15, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 56*y**2 + 172*y + 122. Let v be j(-59). Is 415 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.2. Which is the closest to 1? (a) j (b) -8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 3\/((-3)\/5). Put 4, 3, f, 41 in increasing order.\nAnswer: f, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 53555865?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 17*v + 2. Let r(g) = -61*g + 382. Let j be r(6). Give o(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4690739.6 rounded to the nearest 1000?\nAnswer: -4691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, 67, 3 in decreasing order.\nAnswer: 67, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128029 not equal to 640144\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64963 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 3 = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/114)\/((-18)\/5022) + -5\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -11. Let j(h) = h + 1. Let q(o) = 1 - 2 - 4*o - 3 - 4. Let z(i) = -2*j(i) - q(i). Determine z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 90, 0.15, -1\/12, 2\/7, -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-8)*(384\/(-8))\/(-8). Which is the nearest to -0.1? (a) h (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24012*j**5 - 7915*j**2.\nAnswer: 1440720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97291.88 millilitres to litres.\nAnswer: 97.29188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192464.4 centuries to millennia.\nAnswer: 19246.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, 5, -5, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18758*q = 855*q + 2046734 + 477589 for q.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b - 482000 = -72*b. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaahonnhhhazaazzaao. Give prob of sequence eznn.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903215 is divided by 301016.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 656 and 235832.\nAnswer: 471664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 5, o: 3, m: 5, g: 1}. What is prob of sequence mont?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - t + 25. Let y(q) = q - 5. Let z be y(4). What is the remainder when m(0) is divided by (3\/(-3))\/z*13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/9 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 19308957592707*w**5 - 482540728943127*w**4 - 4580645888148*w**3 + 9350845488*w**2 - 5857248*w + 1200 = 0. Calculate w.\nAnswer: -2\/177, 2\/3313, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/6964295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.5748 millennia to decades.\nAnswer: 2157.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2\/11 + 3306*m\/11 - 228420\/11.\nAnswer: -6*(m - 470)*(m - 81)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*d = -16, 5*d = -3*z - 12 - 5. Let v(f) = 6*f**3 - f**2 - 4*f + 3. Let c be v(z). Solve m + 4*m - 5*a - 20 = 0, c*m + a = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 35.9. Let x = 1.8 - 2. Put h, -4, x in increasing order.\nAnswer: -4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbdtjsjsssdbbsscb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153*r - 1155*r + 5*p + 29563 = 0, -p - 59171 = -4*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**3 - 2*r**2 - 6*r - 7. Let b(w) = -28*w**3 + 5*w**2 + 12*w + 14. Let a(o) = -6*b(o) - 13*d(o). Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*f + 1838 + 1995, -2*l - 950 = f. Let b = f + 961. Solve -5*r + 27 = 5*k + 7, -k = b*r - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 - 4*l**2)*(-l + 1 - 24*l + 4*l).\nAnswer: 63*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -62. Calculate the remainder when 383 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133133310211 (base 4) in base 14?\nAnswer: 114d07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 5946 = 978. Let c = 210 - d. Solve c*x + x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 42. Calculate the least common multiple of q and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3\/839 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(800\/30) + 726\/(-1110)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 3 - 1152*j - 2524*j to the form y*j + n and give y.\nAnswer: -3676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + t = -3*r - 5, -3*r + 2*t = -10. Let b = 0 + r. Suppose b*f = 5*f - 55. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.42024, 0.5, 0, -1, -6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b*r**4 - 6417*b*r - 2617*b + 32 wrt r.\nAnswer: 32*b*r**3 - 6417*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39466550789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 33*i - 31*i = -171002, 0 = 5*d + 4*i - 142496. What are the prime factors of d?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8562 + 27537. What are the prime factors of t?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6866 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -0.6, 0.5, -0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 110*n**2 + 399*n + 34. Determine l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5002 - -4988. Suppose -2*m + 85 = -7*m. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 7*w - 10. Let f be n(-9). Let d(p) = -7 + 2*p + 6*p - 4*p + f*p + p**2. Calculate the remainder when d(-15) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023718 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3977986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 936, -0.4, -3\/767 in decreasing order.\nAnswer: 936, 1, -3\/767, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 33.03. Let h = 0.07 + s. Which is the second smallest value? (a) -2\/9 (b) h (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/5 + 12*p**2\/5 + 48*p\/5 - 307. Let s(l) = 0. What is l?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + (9 - 6). Suppose n*t - 11 - 24 = 0. Suppose 0 = -s + 2 + 2. Solve s*b - 19 = -t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -30a04?\nAnswer: 30a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 minus -10172089572?\nAnswer: 10172089576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 0.5, -38, -1\/8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -205*t**3 + 1. Let d be q(-1). Suppose -3*z - 292 = d. Let x = 355 + z. Calculate the highest common factor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((1 - -9) + 1525\/(-150)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 32*s = -2*i + 44, -4*s + 8 = 0. Solve -3*k = -18*y + 21*y + i, 3*y = -k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7221 - 5120. Let g = y + -687. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/15*(136\/(-16) - -6). Let j be p - 8\/(-16)*-6. Solve j*r + 13 = 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 11. Does h = -21\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 32. Let g be (-1 - 0)\/((-5)\/r). What are the prime factors of (-2 + (-39)\/g)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c - 1049. Calculate g(27).\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -0.113 (c) -0.188 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, -1, -0.3, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, -2, 8, 2, 1, -6 in ascending order.\nAnswer: -6, -2, 0, 1, 2, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 3*x**2 + x + x**3 + 0*x. Let z be k(3). What is the smallest value in 0.3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (5 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:33 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/14)\/((-4)\/28). Let g be o\/4*396*3. Suppose 3*f - g = -3*y, 3*y - 3*f - 288 - 318 = 0. Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x**2 - 5*x + 2. Let k be y(2). Let t(i) = i - 18. Let m be t(k). Let g be m\/(-4) - (-1)\/(-2). Solve -5*d + g = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -1\/5, 0.3, 0.1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-10) + 3\/15. Let n(o) = -38 + 34 + 0*o + 10*o. List the prime factors of n(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:08 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*b + 12 = 0, -11*s = -6*s + 4*b + 11. Let j be -5 - (s + (-1165)\/20). Suppose -3\/4*c**3 - j*c + 375\/4 + 45\/4*c**2 = 0. Calculate c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 + -1 + -1 - (-138 - -133)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 739433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(45*v + 2*v**3 - 7*v**2 - 3*v**5 - 45*v).\nAnswer: -3*v**5 + 2*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 45 - 35. What is the derivative of -u**3 + b*u**2 + 56 + 8*u**3 - 12*u**2 wrt u?\nAnswer: 21*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14829.\nAnswer: -2\/14829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8404 is divided by 4057.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21120030201222 - -2?\nAnswer: 21120030201230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (345\/(-153))\/5 - 22\/(-66)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54589, 218350, 491295, 873430, 1364761, 1965294, 2675035?\nAnswer: 3493990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*j**2\/15 + 106711706*j\/15 - 2032604.\nAnswer: 2*(j + 7622265)*(7*j - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 13*t**2 - 18*t - 41. Calculate g(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 231 + 999*y.\nAnswer: 999*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221121 (base 4) in base 7?\nAnswer: 61356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7659462 by 241.\nAnswer: -31782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225.0163 + 225. Let i = -9.0563 - w. Let g = i - -9. Which is the closest to -0.2? (a) -1 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16126009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose p - 2 = -s. Suppose -4*f + p*o = -10, -f + o - 4*o = -13. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12078)\/(-132) - 21\/6. Solve -38 + g = 10*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8128 divided by 8\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.1 + -4. Let u = 1.4 + 4.6. Let h = u - 5.6. What is the nearest to -1\/2 in h, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*k**2 - 10*k - 6*k - 58*k**2 - 9*k + 6*k.\nAnswer: 275*k**2 - 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 175*w + 0*w**2 + 3 - 50*w - 53*w - 60*w - w**2. Give a(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 11*b = 7*b - 64, -j - 3*b = 22 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.05 + 26.05. Sort s, -39\/4, -5 in ascending order.\nAnswer: -39\/4, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 3975.9.\nAnswer: 27831.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-311)\/622)\/(9\/6*(-12)\/(-2))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 2*u - u - 3*u**4 - 4*u**2 + 4*u**2 + 3*u**4 + (21*u + 18*u + 10*u)*(7*u**3 + 4*u**3 - 3*u**3) + 2*u + u**4 - u - 3*u**4.\nAnswer: 392*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34b35 (base 16) in base 12?\nAnswer: a4b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 447, 276, -1, -378, -849, -1408, -2049?\n\"Answer: t**3 - 59*t**2 - t + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 11*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n = 51*n - 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/20 - g**4\/12 + g**3\/6 - 2*g**2 - 3. Let s(o) be the second derivative of v(o). Calculate s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/10 + 2)*-2. Let p be (-2)\/(-5) + 2\/(-30). Suppose 5*c - 21 = -g + 5*g, 0 = 3*c + 3*g + 9. What is the second biggest value in t, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + o + 1913347 = 0, 382665 = w - 100*o + 102*o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let h(a) be the second derivative of 7*a**6\/720 + 2*a**4\/3 - 4*a. Let q(r) be the third derivative of h(r). Determine b(q(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5125 - 5023. Solve -49*y = -g - 45 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-80)*(-10)\/3. Let p(v) be the second derivative of -o*v**4 - 5*v + 0*v**2 + 7\/20*v**5 + 0 + 0*v**3. Find the third derivative of p(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-1)*(-4 + 5). Let r(s) = -1. Let w(t) be the second derivative of -t**3\/6 - t**2\/2 + 6*t. Let c(q) = -4*r(q) + w(q). Calculate c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 4. Let x(q) = q + 7. Let f(y) = -5*y - 5. Let m(p) = 3*f(p) + 4*x(p). Give -8*d(h) - 3*m(h).\nAnswer: h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7))\/(1680\/1568).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/24 + 5*l**3\/6 - 19*l**2\/6 + 4*l + 14. Factor f(t).\nAnswer: -(t - 12)*(t - 2)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4432560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*g**2 - 121*g**2 + 237*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.6 + 28.18. Let y = -1.58 + f. Sort y, -3\/4, 5\/3, -4.\nAnswer: -4, y, -3\/4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**7\/420 - z**6\/180 + z**5\/30 - z**4\/12 + 16*z**3\/3 - 9. Let b(l) be the third derivative of p(l). Give b(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1210*n**4 + n**3 + 1769*n + 1 wrt n?\nAnswer: 14520*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.007, -4, -486, -3\/7, -1\/5?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/7 - 46*j**4\/7 + 426*j**3\/7 + 11014*j**2\/7 - 1672*j\/7 - 43320\/7 = 0. What is j?\nAnswer: -19, -2, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkl when four letters picked without replacement from {k: 4, l: 1, n: 2, j: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6442 + -6441.93. Sort t, -0.05, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, t, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147839 is divided by 704?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 + 2*c + 1. Let i be n(-1). Suppose -1 = -k + i. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2989002, -2989000, -2988980, -2988930, -2988838?\nAnswer: -2988692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 = -21*j + 51. Suppose 4*s = -z - 14, 2*s + 0*s + 2 = -3*z. Suppose -j = -z*v - 7. What is the remainder when 83 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/(-4)*-1). Suppose -z*r + 20 = -28. Let b = r + -8. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 130.57. Let v = j + 4.57. What is the smallest value in -4, 3, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:39 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102010101122 + 2?\nAnswer: 102010101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 13 + 52)*(-2 - 1 + 1)*(23*o - 21*o - 48*o - 45*o).\nAnswer: 5642*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*h = 12, -5*c = 4*h - 5 - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 2*y + 3*y + 253567538*y**2 - 253568197*y**2.\nAnswer: -659*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2393, -2387, -2377, -2363?\n\"Answer: 2*k**2 - 2395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 3*v + 4. Let b be n(-3). Let h(y) = -y + 9. Let c be h(7). Solve 0 = -3*g + b*g - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8020 and 336038.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13182*p - 13190*p - 128 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 114 + 39 + 23. Let z be p(0). Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 3, -0.228, 3.5, -2 in descending order.\nAnswer: 6, 3.5, 3, -0.228, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5. Let m be k(0). Suppose -2*z + l + 0*l = -4, 0 = -5*z - 4*l - 16. Let h be (1\/(6\/(-9)))\/(9\/(-6)). Put z, m, h in decreasing order.\nAnswer: m, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.065 (b) 4.9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15444 divided by -470?\nAnswer: 7722\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -2. Let b be 7\/35 + x\/5. Suppose u + 2*g - 25 = 0, -u - 2*u - 5*g + 71 = b. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 - 4*c**3\/3 + 2*c**2 - 2. Let y be t(4). Let p = y - 9. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.60447*-0.031\nAnswer: 0.01873857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = l + 38, -358*l = -362*l + 4*c - 176. Which is smaller: -447\/10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4457780531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from wwxxwxwwwwwwwx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1601788\/16445 + -9\/3289. Let o = -97 + q. Which is the nearest to o? (a) 1 (b) -1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 5. Sort 1, i, -0.4.\nAnswer: i, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*b + 136 - 136 to the form g + d*b and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/20 + 2\/5. Which is smaller: w or 14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36890003\/31 and -1190000 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 32*c - 40)*(0 - 1 + 0)*(3 - 3 - 2)*(3 - 40 - 3).\nAnswer: 2560*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -114. What is the second derivative of -153*j**o - 2*j**5 + 153*j**2 - 2*j**4 - 29*j wrt j?\nAnswer: -40*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i. Let s(y) = i + 1 + 0. Let n = -1 - 4. Let z(x) = -x**3 + 5. Determine n*s(m) + z(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let x = -0.16 + -0.1. Let p = -0.04 + x. What is the third biggest value in z, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1670\/63 + -184\/7. What is the closest to -5\/2 in h, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5387313?\nAnswer: 3, 23, 163, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 124259477 to the power of 1\/2, to the nearest integer?\nAnswer: 11147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -23152241?\nAnswer: -23152233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 266.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.4 + 82.4. Which is the third biggest value? (a) k (b) -1.9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 4*v. Suppose 4*y - v*x = y - 57, 21 = -y - x. What are the prime factors of 240\/25 - 4\/(y\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/23)*a)**(-6\/17)*a**(8\/5)*a*a*a*a**(2\/47))**(-50) assuming a is positive.\nAnswer: a**(-3264710\/18377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36382710 is divided by 197732?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*q - 34, q - 781*v = -783*v + 4. Calculate the remainder when 338 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 80*j**2 - 15*j - 1188. Give s(-80).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8488 * -0.068\nAnswer: 577.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 13*s + 14*s + (-5*s - s + 4*s)*(-2 + 1 + 2) - 2*s + 3*s - 3*s to m*s + n and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*h**3 - 94*h**2 + 29*h**3 + 51*h**2 + 26*h**3 wrt h.\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3 + 29. What is the remainder when 21 is divided by (3\/4)\/(k\/(-64))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -806.93 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/5 + 1328\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 199394.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjxs when four letters picked without replacement from {j: 1, q: 1, s: 9, p: 1, k: 5, x: 1}?\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 3*y - 247 - 153 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 15*o - 3. What is the remainder when n(-13) is divided by 2 + (10 - 2) + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-20 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20856408, -41712811, -62569214, -83425617, -104282020?\n\"Answer: -20856403*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - -1)*74\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**2\/3 - 292*k\/3 - 1496 = 0.\nAnswer: -51, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145497 and 796752?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067939 rounded to five dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1615?\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (4*(sqrt(300) + 1) - sqrt(300)) + -1 + -2)**2.\nAnswer: 60*sqrt(3) + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200.1753268 - 209.47532587. Let j = q - -9.3. What is j rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 11 = -i + 5*n, -3*i = 2*n. Let k(t) = i*t**2 + 4 - 6*t - t**2 - t**2 - t**2. Calculate k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 6) in base 3?\nAnswer: -200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 293.6305648 + -37\nAnswer: 256.6305648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24168 divided by 4.\nAnswer: 6042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13389374861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 288?\nAnswer: -5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g + p, -211*p + 213*p + 8 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55476.\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111110010000011 (base 2) to base 6.\nAnswer: 14303231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 9*l**2 - 18*l - 69. Calculate p(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/783938 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*c = 68*c + 28. Let j be 6\/9*(-7)\/c. What is the third smallest value in -2\/3, j, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 2*l**3 - 6*l**2 + 3*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51396, -51000, -50604, -50208, -49812, -49416?\n\"Answer: 396*y - 51792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*h + 5*h. Let f be 5 - 3\/(3 + -2). Which is the biggest value? (a) 0.2 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/147)\/(5\/(675\/90))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*u**2 - 1011*u**2 + 2013*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 15. Let d = -2699.88271 - -2633.883. Let u = j + d. Round u to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -792*i**2 + 1012*i + 6. Let r(x) = 1583*x**2 - 2024*x - 10. Let a(z) = 3*r(z) + 5*u(z). Find the second derivative of a(l) wrt l.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) -4 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 29*c**2 - 65*c - 126. What is j(-31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/2, -2\/11, -7, -159 in decreasing order.\nAnswer: 3\/2, -2\/11, -0.2, -7, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529308, -1058596, -1587884, -2117172?\nAnswer: -2646460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 0*w)*(110 + 96 - 167) - 4*w + w + 4*w + 53*w + 36*w - 78*w to x + c*w and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -353, -757, -1263, -1835, -2437, -3033?\nAnswer: -3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 107 + -10 + 16 - (-42 + (52 - 18))\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**8)\/((z*z**(2\/19)\/z)\/z)*z**(-8)\/z**(-3\/14) assuming z is positive.\nAnswer: z**(561\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 1. Let h(a) = -a**3 + 7*a**2 + 7*a + 8. Let k(u) = -f(u) + h(u). Let z = -45 - -53. What is k(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 31\/2383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 3. Suppose 3*o + n + 2 = 4*o, 3*o - 2*n - 6 = 0. Determine m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7228522g to milligrams.\nAnswer: 722.8522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (-1 + sqrt(75))**2).\nAnswer: -30*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.96 - -0.04. Suppose z + 9 + 2 = 0. Let w be (z - -8) + 10\/3. Which is the nearest to 1? (a) j (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126.7 - -126.6999995532. Round r to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410 - 411. Put 3, -12, k in descending order.\nAnswer: 3, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -242, -245, -250, -257, -266?\n\"Answer: -d**2 - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) + (2 - -593)\/(-1). Let a = g - -1489. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-12*(-12)\/593424) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 535 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 316 - 160. Let x be ((-8)\/(-6))\/(8\/g). Suppose 3*s = 5*z + 140, 0 = -3*s - 3*z + x + 154. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, 1\/10, 12\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1077 - 2334. Let c = 2217 + v. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 1681*p**3\/4 + 838983*p**2\/4 + 20460*p + 499 = 0.\nAnswer: -499, -2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1611160*u**3 - u**2 + 3*u + 98655.\nAnswer: -9666960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 1\/2 (b) -12 (c) 22.33 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809*b - 27*b**2 + 402*b + 410*b - 5*b**3.\nAnswer: -5*b**3 - 27*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 14*v - v**3 - 6*v**2 + 6 - 3*v**2 - 2*v**2. Let i be t(-12). Suppose -2*z + i + 40 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2. Let a(k) be the first derivative of 0*k**3 - 4*k + 0*k**2 - 4 + 11\/12*k**4. Let v(f) be the first derivative of a(f). What is l(v(x))?\nAnswer: 242*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s. Suppose 4*n - 35 = -n. Suppose -3*o - 3 = -2*o - k, -3*o - k + n = 0. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2273\/13 + -175. Which is the second biggest value? (a) -0.15 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1421756, -1421755, -1421754?\n\"Answer: j - 1421757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/15 - 22*t**2\/5 + 114*t\/5 - 162\/5 = 0?\nAnswer: 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*p + 33, -39 = -2*z - 5*p - 10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:04 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xppphphppxp. Give prob of picking 1 h and 1 p.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 2*x - 2. Let s be d(-2). Calculate the remainder when (-44)\/(-12) + s\/(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (-51 - -86) + 1 + -1 + 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2686 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 5. Let j be i(-4). Suppose -10*x + j*x = -k - 11, -x - 4*k = 18. Suppose 4*w = 31 + 37. Solve w = -5*z + 2*f, f = 5*z + x*f + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + y = -275, -5*m + 280 = -2*m + 4*y. Let s = -37 + m. Let a = s - 37. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 4*d**2 - 2*d**2 + (2 - 5 + 2)*(-5*d**2 - 3*d**2 + 5*d**2) + (-5*d + 2*d + 4*d)*(-2 + 2*d + 2).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*c**3 - 43*c**3 + 50*c**3.\nAnswer: 123*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5, -2*p = 3*l + 22 + 6. Let c(r) = -r - 1. Let n(j) = -5*j - 3. Let z(u) = 2*c(u) + n(u). Is z(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z\/(z*z*z**(2\/7)\/z*z)*(z**(2\/5)*z)\/z*z*z**(1\/13)\/z assuming z is positive.\nAnswer: z**(-34\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 - 263 = -4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0289 (b) 7208 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s - 128. Let x be a(-5). Let l be x\/8*(14 + -6). Factor 15\/4*n + 17\/4*n**l - 1\/2.\nAnswer: (n + 1)*(17*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*g**5 - g - 129 wrt g?\nAnswer: 1660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.863 + 1.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 4, 58, 3, -27\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrvvvvv. Give prob of sequence vvr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 3*i - i + (-i + 0 + 0)*(-1 + 2 + 0) + 0 - 1 + 7*i - 9*i.\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*d = -536, 36*o - 524 = 31*o - d. Suppose 5*f - 765 + 240 = 0. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3187 + -3186. Solve 3*q + 29 = -18*g + 13*g, g - q = -s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017 times 6.75\nAnswer: 0.11475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133470934 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211 times -142?\nAnswer: 29.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3894, 4, 6, 2, -1, -4 in decreasing order.\nAnswer: 27, 6, 4, 2, -1, -4, -3894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let f(x) be the third derivative of 7*x**5\/60 + 8*x**2. Give f(t(j)).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 16*h**2 + 14*h**2 - 4*h**3 + 6*h to n + i*h**3 + y*h + d*h**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 2 = 0. Let q be w\/(2 - (-1 - -1)). Let h(g) = 3*g**2 - g - 1. What is h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q + 5. Let k be g(3). Let c be -1*2\/4 + k\/(-2). Let t = -5 + c. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686322 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22548 and 404.\nAnswer: 2277348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030 is divided by 57?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8154823?\nAnswer: 8154823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/3, -0.5, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - -0.07. Let n = -4.98 + y. Let k be 1\/3 - 56\/42. Which is the biggest value? (a) k (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 + 7*s**2 + 8*s**2)*(4*s - 3*s + 53*s**2 - 51*s**2) + s**4 - 2*s**2 + 2*s**2 + (6*s - s - 4*s)*(-2*s**3 + s - s).\nAnswer: 13*s**4 + 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 * 0.15\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + 81. Calculate u(0).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107480?\nAnswer: 2, 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1557284650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8044*d + 11252*d - 706034 = 7123*d for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/11 - 91020*x**2\/11 - 1092132*x\/11 - 3276288\/11 = 0.\nAnswer: -91008, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -809903*x**3*z + 691*x**3 + 364*x**2*z**2 - 57347*x**2 + 2*x wrt z?\nAnswer: -809903*x**3 + 728*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570075.21 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10671, -21343, -32015, -42687, -53359?\nAnswer: -64031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 + 11 = 0. Let t = i + 0. Let w(u) = -5*u**3 + 2*u**2 + 2*u - 6. Let q(n) = -6*n**3 + 2*n**2 + 2*n - 7. Let f(z) = t*w(z) + 4*q(z). Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkmmkmmm. What is prob of sequence kkm?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 155426, 315607, 475790, 635975, 796162?\n\"Answer: n**2 + 160178*n - 4753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112102100112 + 100?\nAnswer: 2112102100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21936436 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 6*u - 2. Let w be z(5). Suppose -3*i - w*o + 27 = -0*i, -4*i - 2*o = -38. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 3*t**2 + 0*t**2 + 0*t**2 + 2*t**2 - 4*t**2 + t**2 - 5*t**2 + 3*t**2 + (-t - 3*t + 2*t)*(6*t - t - 3*t) + t**2 + 0*t**2 - 3*t**2)*(22 - 9 - 52).\nAnswer: 234*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let b(s) = 11*s - 1. Let a be (-3)\/6*-2 - 0. Suppose 4*k + 6 = 22. Let c(m) = a*b(m) + k*j(m). Give c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 - 68 = 0. Suppose -2 = 2*m + l. Let z = m - -30. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 118, -0.3, 0.03, 0.18, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4089465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/(-63))\/(1\/(-1 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 25 + 85 = 0. Suppose -4*f + 91 = f + r, 55 = 3*f + r. Let y = f - t. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 3*k - 1. Let y be p(-2). Suppose y = -0*u + u. Let j = 15 - u. Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60087106*a + 3311053 wrt a?\nAnswer: 60087106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/2 of a decade?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-2 + 5 - 2) - 2 + 1 - 1 + 0 - 1 + 3)*(15*n - 20*n + 6*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 63. Calculate x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 494658841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 227*k**2 + 7*k + 232*k**2 + 6*k to the form m + y*k**2 + r*k and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 1, w: 5, f: 4}. What is prob of sequence iw?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000362646 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(45) - -3*(sqrt(5) - sqrt(10)\/sqrt(2)))*3 + (sqrt(7260)*-2 + sqrt(7260) - sqrt(7260))\/(1*sqrt(108)))**2.\nAnswer: -6280*sqrt(5) + 155645\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g + 12*g - 196 = 4*g. Solve -c - 1 = f, -2*f = 7*c - 6*c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(640) - 3*sqrt(640)) + sqrt(10)).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g**2 + 3*g**2 + 3*g**2)*(-2*g + 4*g - 3*g).\nAnswer: -11*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:24 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x - 3. Let g be o(2). Suppose -3*n + g + 13 = 0. Suppose -8 - n = -3*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - 7*g - 4. Let s be t(-6). Suppose -5*i + 258 = 3*z, s*z + 4*i - 174 = -0*i. Calculate the remainder when z is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 13*b = 0. Let z(a) = -a - 32. Let i be z(-32). Solve b = -i*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6804.2 + 6804. Is g <= 3.294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1736*y**2 + 59023*y - 75. Give b(-34).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2014, 5, -4, -26, 3 in ascending order.\nAnswer: -2014, -26, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 15*s + 132. Let q(b) = -b - 8. Let r(c) = 33*q(c) + 2*u(c). Let w(o) = -130*o - 2. What is w(r(d))?\nAnswer: 390*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m + k, 7*m - 2*k - 14 = 3*m. Let x(t) = 2*t - 6. Determine x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/642 and 18\/48144329.\nAnswer: 288865974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*l + t, 2*t + 11 = l + 3. List the prime factors of ((-1)\/2)\/(l\/(-264)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-15 - 8) + 12 + -108?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245))**2 + 1 + sqrt(245) + -1*(-2*sqrt(245) + sqrt(245)) + (-2*sqrt(245)*5 - -2*sqrt(245)*-5))*5.\nAnswer: -770*sqrt(5) + 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1333, -10764, -36411, -86398, -168849?\nAnswer: -291888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6431006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 100711.\nAnswer: -5\/100711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11727778666489 minus -0.22?\nAnswer: -11727778666488.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1294 and 89\/36?\nAnswer: 23292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 710493588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 5057 - 5167 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(106\/(-56) + 2). What is q rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1851 + 3128. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35486, -141543, -318304, -565769, -883938, -1272811, -1732388?\nAnswer: -2262669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432888 + 6525?\nAnswer: 4439413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 50. What is the tens digit of q(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*-2 - -23. Let y = r - 16. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714395 = -79*r + 68*r. Suppose 67305 = -25*g - r. What is g rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, c: 2, n: 5}. What is prob of picking 1 e, 2 c, and 1 n?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -14 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355775605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -33, -40, -47, -54, -61?\n\"Answer: -7*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*v + 5*p - 1832, -2*v + 16*p + 47 = -0*p + 21*p for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2697*k - 74755 + 317485 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 460999217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**(-2\/7)*(z*z**(1\/2)*z)**(-26\/9) assuming z is positive.\nAnswer: z**(-491\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -217*q + 218*q + r, 11*q - 5*r = -7*r + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - (-309342)\/198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3644 by 2.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21599780, 21599782, 21599784, 21599786, 21599788?\nAnswer: 21599790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 5*s - 125, 0 = 4*s + 4*a - 68. Let c(u) = 12*u - s - u**3 + 5*u**2 + 2*u**2 + 11. What is the tens digit of c(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 19*b - 13. Is -14 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 4}. Give prob of sequence jhhh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3104145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 25*i = 4. Let u(a) = 5*a - 10. List the prime factors of u(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*6 + (sqrt(19) + 0 + 5 - (sqrt(19) + (2*sqrt(38))\/sqrt(2))))**2 + 5.\nAnswer: -140*sqrt(19) + 3754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 711 - 705. Suppose 2*m = 3*y + l*m + 20, -3*y + m = -5. Solve y*o = 9*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + sqrt(325)*-2 + 0 + 3 + 6*((1*sqrt(325) - sqrt(325) - sqrt(325)) + -3 - sqrt(325)).\nAnswer: -65*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -385*s + 65. What are the prime factors of n(-34)?\nAnswer: 3, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112986*j = -113309*j - 23256 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -136c (base 15) to base 7\nAnswer: -15051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4 - (-210)\/(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6572*w - 56175 wrt w.\nAnswer: -6572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 15*u - 27. Give o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 9) in base 12?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - 2*b**3)*(-2 + 2*b + 2) + 8205*b**4 + 477*b**4 + 2273*b**4.\nAnswer: 10951*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4\/7, -1\/4, 1, 0.5 in increasing order.\nAnswer: -4\/7, -1\/4, -0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1906983\nAnswer: 5\/1906983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:01 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:44 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45031 is divided by 19564.\nAnswer: 5903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 0, 5.\nAnswer: -3, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.202 - -0.202. Let l = -220 - g. Let q = l + 190. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83721435 to the power of 1\/2, to the nearest integer?\nAnswer: 9150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**13\/n*n*n)*n**(-11))**(-12)*(n\/n**(-8))\/n*n*n**(2\/7)\/n*n**4*n*(n*n**6*n)\/n assuming n is positive.\nAnswer: n**(2158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -279, -16, 0 in descending order.\nAnswer: 0, -3, -16, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1 = -3*k, 5*k - 4 = 5*n + 1. Suppose 6*m - 2*m = 12. Suppose -m*q = -q - 6. Solve n = a - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 + 24675*g**4 + 197620*g**3 + 494220*g**2 + 395440*g = 0. Calculate g.\nAnswer: -4, -2, 0, 4943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q + 3*q = -14*q + 647 + 2845 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - 6) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h\/(h*h**(-5))*h))\/h)\/h*h\/(h**(-6)\/h)*h*h**(-8)*h*h\/(h\/(h*h**7\/h*h)))\/((h**(-1))**(-19))**45 assuming h is positive.\nAnswer: h**(-851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:56 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -10651319.\nAnswer: -10651320.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 10, b: 7}. Give prob of sequence mbbz.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 19*v - 20. Let j be u(-18). What is the smallest value in -4, j, 5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 109 = 3*m + 2*i, 2*m + 5*i = -41. Let l = -33 - m. Suppose -2*d + 60 + 164 = l. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 30*r**2 - 40*r - 204. Is 30 a factor of z(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3408, 6783, 10158, 13533, 16908?\n\"Answer: 3375*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -7190?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064023 to six decimal places.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 + 9*f + 7. Let h be r(-7). Let i = h - -12. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:22 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2. Suppose -2*q = 3*q + 5*m - 25, 4*q - 26 = -2*m. Let d(a) = q*a + 8*a - 14*a. Give d(s(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 10*h**2 + 9*h + 2. Let k be m(-9). Let o = 22 - 4. Suppose -k*y + o = y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/11 - 1728\/(-66). Solve -5*a - 28 = 4*i, -a = 3*i + 4*a + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21414)\/(-2241))\/((-32)\/144)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1649665900 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2\/(-19))\/(-1). Let v = 4.06 - 0.06. Let y = -6001.5 + 6002.5. Which is the nearest to y? (a) m (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -506*m**3*w**2 + 6*m**3*w - 13*m**2*w**2 + 2*m**2 - 101 wrt w?\nAnswer: -1012*m**3 - 26*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:20 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 356664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -15, -28, -43?\n\"Answer: -a**2 - 8*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 1:32 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -159 = -2*t + f, -t + o*t = -3*f + 163. Calculate the highest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -69. What is the remainder when h + -6*16\/(-6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - 1. Suppose -2*f = 3 - 7, 4*n + j*f - 12 = 0. What are the prime factors of 55 - (0 + n)*1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) -10236.217 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 15) to base 2\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -125.95. Which is the closest to w? (a) -0.4 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in -0.04, 4, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5743405769.\nAnswer: 71, 227, 367, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + sqrt(192)*2 + (sqrt(108))**2 + sqrt(3).\nAnswer: 25*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 1 - 5. Let j be -19 + 534 - 1*r. Suppose -2*q + 193 = -j. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*j + 17*j - 6*j)*(-1 - j**3 + 1) + (1 - 2*j**3 - 1)*(5*j + 0*j - 3*j) to the form u*j**2 + y*j**3 + q + f*j**4 + l*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q**4 + 2*q**3 + 118824*q**2 - 3924290*q wrt q.\nAnswer: -144*q**2 + 12*q + 237648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + (-4 - 0) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21251, -43199, -65835, -89153, -113147, -137811, -163139, -189125?\nAnswer: -215763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 322968, 645935, 968906, 1291881, 1614860, 1937843, 2260830?\n\"Answer: 2*s**2 + 322961*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b. Let j(f) = -366*f. Give y(j(x)).\nAnswer: -1098*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19955 + 18765 = 484*v for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -499*k**4 - 3759*k**3 + 6810075*k wrt k.\nAnswer: -5988*k**2 - 22554*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/60 + 2609*y**2 - 2*y. Let w(v) be the third derivative of 98*v**5\/15 - 2*v**2. What is w(c(d))?\nAnswer: 392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(2\/23)*n)*n**(2\/9))**(2\/45) assuming n is positive.\nAnswer: n**(-140\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j + 165120 = 10*j. Does 79 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1\/3*l**3 + 0*l**2 - 5 + 2*l. Find the first derivative of u(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 17 + 5*u**2 + 11 - 7*u**2 to the form b*u + r*u**2 + s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4306 + 34523\/8. Let o = 300\/239 + -42779\/22466. Calculate the common denominator of o and h.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*r = 14, -118399*r - 1 = 2*j - 118400*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2306 = -4*a - 3*c, 5*a + 5*c - 2*c - 2881 = 0. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/8 and 50\/593?\nAnswer: 4744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, i: 9, q: 1, y: 2, c: 3, g: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 32*z - 257. Let u be y(8). Sort 0.1, u, 2, -2, -3\/13 in decreasing order.\nAnswer: 2, 0.1, -3\/13, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 - (7 + (-4 - 12) + 4 + 54)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*d = -82, -5*a = -5*d - 0*d - 80. Let i be (a\/(-15))\/(6\/(-8)). Let o be (-14)\/(-21)*(-1 - 5). Put i, 2, o in decreasing order.\nAnswer: 2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/10)\/b*b\/(b\/((b\/b**(-1\/2))\/b)))\/((b\/(b\/(b*((b\/(b\/((b*b*b*b**(-2))\/b)))\/b)\/b*b*b*b)))\/b)**(-3))**(18\/11) assuming b is positive.\nAnswer: b**(288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = 5*s + 2*h, -5*s + 10 = 3*h. Let m = s - -4. Suppose 4*l - 21 = m. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*j - 2240, -2*n - 3*j - 1126 = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1561337243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.825209 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83554662*y**4 - 2*y**2 + 517*y + 3326 wrt y.\nAnswer: 2005311888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 + r. Let f be t(-1). Suppose -4*z = 5*c - z, -c = 3*z + 12. Let y(a) = -a - 3. Let s(w) = -2*w - 8. Determine c*s(n) + f*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m = 44*m. Let j be (1 - -1)\/((-4)\/(-6)). Solve -8*y + j*y = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2273418538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 7*u**4\/12 + u**3 - u**2\/2 - 173*u - 2. What is the remainder when 30 is divided by p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19.1*-125518\nAnswer: 2397393.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1356778\/4573 less than or equal to -298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*h + 61, -3*k = 5*h - 0*h - 54. Let c = -7 + k. Solve r + r = -c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - d9643?\nAnswer: -d9644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -42236862 + 42236862 - 1301*u**2. Let b(d) = -8*d**2. Determine b(a(r)).\nAnswer: -13540808*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 17927 = 22*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d - 55?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 11) to base 9.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/11, -250?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 73 + 221 - 71 - 77.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let m(n) be the third derivative of -n**5\/60 + 4*n**2. Calculate k(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47796 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 - -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1752 - 0.1248. What is the nearest to -1\/6 in -0.8, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80408980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 27*v**4 + 5*v**3 - v + 5. Let z(s) = 13*s**4 + 2*s**3 + 2. Let u(p) = 2*l(p) - 5*z(p). Find the second derivative of u(x) wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3 - 1\/165*b**6 - 3*b + 1\/33*b**4 + 0*b**2 + 0*b**3 - 1\/110*b**5. Let g(a) be the first derivative of m(a). Factor g(t).\nAnswer: -2*t**2*(t - 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 424 = 0. Let j = 191\/2 + s. What is the common denominator of j and -89\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -10 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 - -4) - (-12 + 5 + -2 + -22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -309, 4, 0.2, -1.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3 + u - 3 - 3 + 4. Let k(j) = -28 - 2*j + 3*j + 29. Give k(g) - 2*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = -97*q + 137*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 7*h + 8. Let s be b(-6). Suppose -s*f - 2345 = -19*f. Suppose 5*g - 6*g + f = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -121, -353, -767, -1411, -2333, -3581?\nAnswer: -5203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2. Let j(u) = u + 5. Suppose y + 2 + 3 = 0. Let o(m) = m + 4. Let f(q) = y*o(q) + 4*j(q). Give z(f(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88110 and 484605.\nAnswer: 969210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(381 + 762 - 275)*(-3*y**3 + y**3 - 2 + 0*y**3 - 2*y) as h*y + f*y**3 + a + s*y**2 and give h.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 247*i**2 + 2132*i - 2738. Calculate f(-238).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Suppose 44 = -4*c + 152. Let b be (-12)\/4 + c*j. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 1328 = 652. Suppose 0 = -4*w + 1 - 5. Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 9*o**2 + 2*o + 0*o**2. Does 18 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11853, -23721, -35619, -47553, -59529, -71553, -83631?\nAnswer: -95769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 82. Let k be z(4). Is (-2)\/9 + 37640\/k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1839 + -1840. Which is the fourth smallest value? (a) g (b) 0.26 (c) -2\/35 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c57b0 (base 14) to base 9.\nAnswer: 805243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*(25 + -1). Let c be 3 + -4 + 4*65\/220. What is the biggest value in f, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 656 or 657?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168 + 14*j + 41 + 41 + 45)*(-j - 2 + 2).\nAnswer: -14*j**2 + 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3 + 1. Calculate the remainder when 34 is divided by (-212)\/(-18) + d\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23723.89 - -23146. Let m = 578 + r. Suppose 11 = 5*t - 9. Sort t, -2\/5, m in decreasing order.\nAnswer: t, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2673 and 9963?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 605 (base 15) to base 11\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/714 and 77\/663.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 20\/9, -0.4, -1.6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 15*n = 4. Are n and 7\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 k, and 1 v when four letters picked without replacement from ovrkrkooko?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 - 121 = -z - 2*p, 5*z = p - 1566. Let x = z - -307. Put x, 5, -4, 3 in decreasing order.\nAnswer: 5, 3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:33 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**2 - 886*x - 4371 with respect to x.\nAnswer: -10*x - 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 7*x - 9*x**2 + 7*x**2.\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 8*a - 256. What is f(42)?\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154825?\nAnswer: 5, 7, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*-2*2 - sqrt(77))\/sqrt(7) + sqrt(44)\/(sqrt(28)\/sqrt(63)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (142\/71)\/((-2)\/(-1)). Suppose 4*t = t. Suppose 4 = 2*x - t. Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = -5*w, -3*w - w = a - 8. Suppose 0 = -2*u - w*u. Find z, given that -2\/5*z + 2\/5*z**2 + u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 14*f + 10 = 0, -5*a + 50 = 5*f. Suppose -a*i - 22 + 68 = r, -5*r = 5*i - 30. Solve 0 = -2*b + 4*b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615705251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 67 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 498607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -45. Calculate the remainder when 66 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(476\/(-153))\/(-14)*-6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 0.03121\nAnswer: 0.84267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-1)\/(-7) - 4880\/(-280). Solve 5*a - 3*d = j + 4, -2*a + 4*d + 6 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -613 - -608. Which is the closest to 2? (a) 1\/5 (b) -0.2 (c) o (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 3, p: 5}. Give prob of sequence ppup.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2365948 (base 10) to base 2.\nAnswer: -1001000001100111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(1\/12*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369049*r**2 - 369049*r**2 - 16*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -8, 7\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/128)\/(12\/(-672)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34803 is divided by 2320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 692 + 7*o**2 + 21*o - 692.\nAnswer: -2*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119771 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -109, -162, -215?\n\"Answer: -53*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 - 11*n**2\/2 - 22*n - 135. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4057, -16240, -36547, -64978, -101533, -146212, -199015?\nAnswer: -259942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + (-6303)\/55. Is 15 a factor of (-3)\/(-2) + w\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let a(n) = -n + 1. Let c(b) = -12*b**2 + 24*b - 24. Let j(m) = -24*a(m) - c(m). Give j(w(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 smaller than 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360 + 190. Let q = i + 248. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6106380*q**5 - 4219*q**2 - q + 34?\nAnswer: 366382800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 + 10*h - 2. Determine s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 - 7*p. Calculate the remainder when 67 is divided by w(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1189629 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 1596\/14 + (-2)\/2*(-1 - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3, r: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15808 divided by 5.\nAnswer: 15808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4 + (-22)\/(-2) - (-77)\/(-10)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.043 - 5. Round n to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4))\/v*v*v**(4\/7)*(((v*(v\/v**(2\/3))\/v*v*v)\/v)\/v)\/(v\/(v*v**(2\/3)*v)))**(-2\/3) assuming v is positive.\nAnswer: v**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r + 1. Calculate o(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 4, -2, -56 in descending order.\nAnswer: 4, 1, -1, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1475329.\nAnswer: -1475329, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*15\/(-105)*-21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -12 + 5. Let s be (-7)\/q + -2 + 0. What is the tens digit of s\/2*(-26)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5444?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15) + 158\/6. Suppose 4*q + 5*v - h = 0, 2*q - 2*v = -0*q + 22. Suppose q = 4*i - 43. Is i equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36254011 (base 7) to base 12.\nAnswer: -10b556a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 101465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(76\/24)*(-28215)\/(-3078).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20*z - 2. Let q be v(-5). Suppose -14*m + 222 = -8*m. Suppose 15*x = m + 173. What is the highest common divisor of q and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52824874, -105649745, -158474616, -211299487, -264124358, -316949229?\n\"Answer: -52824871*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439009 is divided by 146226.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-20)\/6*(-18)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 3 - 17*q + 2*q + 8*q + 5.\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(4 - 4 + 5*f**2) + 2*f + f**2 - 2*f.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-26) - (-11948344)\/4589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11440.4+12608803\nAnswer: 12597362.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 127, 128, 129?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 132 = 28. Let g be (24\/(-4) - -5)*n\/(-4). What is the nearest to -2\/3 in g, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547416 or 1094829\/2?\nAnswer: 1094829\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = -43*v + 147 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.73 - -0.27. Let x = -1830 + 1830.06. What is the closest to -4\/13 in -1, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(((-18)\/(-30))\/(2\/10)). Suppose 4*q - 20 = 0, u = k - 3*q + 24 - 99. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -260*b - 60583. Determine w(-233).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 68799239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 8*m + 5. Let c = -37 - -46. Suppose 2*x + c + 5 = 0. Determine o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -8, -6, -192, -3 in decreasing order.\nAnswer: 14, 3, -3, -6, -8, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897 divided by 6?\nAnswer: -1897\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3711161795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -2423, -6001, -11137, -17819, -26035, -35773?\nAnswer: -47021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 - 86*m**2 - 83*m**2 - 85*m**2 + 364*m**2 - 75*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + n + 11, 4*n - 249 = 2*z - 275. What is the biggest value in z, -3, 0.065?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(72) + (1 + sqrt(72) - sqrt(72))*2 + sqrt(72) + (sqrt(72) + -1 + sqrt(72))*-5 + sqrt(72) + sqrt(72) + (sqrt(72) - sqrt(72)*1)*5 + 0)**2.\nAnswer: -720*sqrt(2) + 2692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6809924.7 minutes to days.\nAnswer: 4729.114375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -37*r - 901. Calculate d(-25).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 0 - (-26 - -2 - 2*-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89089 and 35854.\nAnswer: 35101066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130.7031 months to millennia.\nAnswer: 0.010891925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812*r - 3147*r**2 - 498*r - 889*r - 577*r - 2762*r**2 wrt r.\nAnswer: -11818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 * 66\nAnswer: 16500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55781, 148, 24.\nAnswer: -55781, 24, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1064274, -1064266, -1064252, -1064232, -1064206, -1064174, -1064136?\n\"Answer: 3*x**2 - x - 1064276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6300 = -88*f + 46*f. Calculate the least common multiple of f and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*k + 4 + (2*k - 3 + 3)*(2 - 4 + 3) + 8*k + 17*k - 18*k)*(-k**2 - 2*k**2 + k**2).\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 33*g. Let d(u) = u**2 - u + 3. Let w be d(2). Let k be (-4)\/(-4) + w + -4. Let c be h(k). Calculate the greatest common factor of 33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-7 + 54 + (-39050)\/800)\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 623*h - 36 = -618*h, 115 = -7*p - 3*h + 31 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*g - 5*i, -5 = 7*g - 8*g + 3*i. Suppose 0 = 5*n - g*n + 9. Suppose -4*b - 173 = -n*f, -3*f + 2*f = -4*b - 71. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 3842.\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223816 is divided by 123518?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 6. Let r = q + -4. Let g = -4 - -6. Solve -t - 5*j - 4 = 0, -g*t - 2*j - 2*j = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003691 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -711.\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o + o. Let k = -1.4 + 0. Let i = k + 1.2. Put 0.1, o, i in descending order.\nAnswer: 0.1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 5 + 5 = 0. Suppose 27*z + 2638 - 44758 = u. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9739007 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 7*c**2 + 60*c**2 - 7*c**2.\nAnswer: -6*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Let k(x) = 12*x + 32. Let i(r) = -k(r) - 6*y(r). Let w be i(-8). Suppose -5*b + 4*o = -w*b + 1248, 750 = 3*b + 2*o. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 8*j - 76 = -8*u, -2*u + 84 = -3*j. Let p(y) = -y**3 - 25*y**2 + 28*y + 52. What is p(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaeo when four letters picked without replacement from {e: 1, o: 6, a: 4, g: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:30 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 38534.97\nAnswer: 192674.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14\/257 (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221519 + 221521. Let -c*k - 6*k**2 - 3*k**4 - 13\/2*k**3 + 0 - 1\/2*k**5 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369524539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 3*m + 53, 0 = r + 3*m - 13. Suppose q = -q + r. Let c = 1 + q. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 372, 556, 740, 924?\n\"Answer: 184*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) -5 (d) 2\/55 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 4 + -27 + 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264922\/39 + -6793. Let b = 585\/64 - 6593\/576. Calculate the common denominator of s and b.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 677.6293 and -0.033124?\nAnswer: 677.662424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1787, -1808, -1845, -1898, -1967, -2052?\n\"Answer: -8*l**2 + 3*l - 1782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 11) in base 5?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525321 + -2?\nAnswer: -525323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/6 + (-20)\/(-30). Let g(x) = x**3 - 17*x**2 + 16*x + 2. Let m be g(16). Sort 4, m, z.\nAnswer: m, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -389\/6. Which is the second biggest value? (a) o (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 11856.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41925*b**3 - 5911430*b**2 - 5952645*b + 710 = 0 for b.\nAnswer: -1, 1\/8385, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02628 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-718*3\/18)\/(3\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*n + 19 - 447 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a + 3. Let z be d(-5). Suppose 5 = -z*v + 20. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41791 - 78457. Let x = n - -182692\/5. Let h = x - -128. Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czb when three letters picked without replacement from xczub.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -1\/10*f**5 - 1\/4*f**4 + 0 + 0*f - 1\/120*f**6 + 7*f**2 - f**3. Calculate t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30673 - 3896. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47535\/294728 + -3\/5263. Let g = 11\/168 - f. Let t = -3\/19 + -45\/76. Sort g, t, 0 in decreasing order.\nAnswer: 0, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063667841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/29, -85, -20\/7?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 8 = -3*g. Let v(z) = g - 5 - 2*z - 2. What are the prime factors of v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 15, 26\/5, -7, -0.4, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 4\/12)*-9)\/(41\/(-82))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/22 - 40\/(-22). Solve p*q + 2 - 12 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**3 - 13*w**2 + 34*w + 299. Let g be f(-13). What is the highest common factor of g and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 2 = -27*l. Let q = -104 + 103. Let x be (q + l)\/(90\/(-25) + 3). Solve -x*c - 25 = 2*f - 6*f, 0 = -4*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 27*y + 1. Let u(t) = 59*t. Determine u(m(h)).\nAnswer: 1593*h + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:44 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18578, 18359, 18128, 17879, 17606, 17303, 16964?\nAnswer: 16583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 3. Let c(g) = 8 + 3*g**3 - i*g**3 + 2*g**3 - 8*g**2 - 4*g**3. Let a(o) = -2*o**3 - 3*o**2 + 3. Let r = -5 - -8. What is r*c(t) - 8*a(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*x - 39*x - 504 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1637006978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjjvjj. What is prob of sequence jvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145476*q**4 - 5*q**3 - 2402320 wrt q?\nAnswer: -581904*q**3 - 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37492*r**2 - 18762*r**2 - 22*r**3 - 19295*r**2.\nAnswer: -22*r**3 - 565*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*(-21)\/2. Let o(q) = -q**3 + 9*q**2 - 8*q - 6. Suppose -5*y = 8 - 73. What is the remainder when o(d) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Let z be (4\/10)\/(d\/10). Suppose -c = z*c - 12, c = 2*h + 4. Solve -3*o = -b + 3, b + h = o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. Let f(a) = -a**3 + a**2 + 59. Let i be f(v). Let r = -36 + i. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112) - (-2*sqrt(112) - sqrt(112))))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 50 + 34 = 2*j, 3*k + 4*j = 56. Solve 2*p = -2*p - k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + (-652)\/(-12). Suppose -j = 2*h - m, h = 7*m - 2*m - 32. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 244*s**4 + 738*s**3 + 740*s**2 + 247*s.\nAnswer: -s*(s - 247)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -426, 0.3, 7.9, 6, -0.4, 0, 1 in increasing order.\nAnswer: -426, -0.4, 0, 0.3, 1, 6, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 + 4*k**3\/3 + k**2\/2 + 4*k + 2. Let b be d(-4). Factor b - 1\/2*w**3 + 1\/2*w**4 - 1\/2*w**2 + 1\/2*w.\nAnswer: w*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 249899 in decreasing order.\nAnswer: 249899, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x. Let d(l) = -6*l**2 + 3*l - 3. Let m(i) = 5*i**2 - 5*i + 4. Let n(b) = 4*d(b) + 3*m(b). Determine -n(z) + 3*y(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20831051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.19 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+553\nAnswer: 552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11442.84*24.\nAnswer: -274628.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2524 (b) -21 (c) 556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 33*d + 72. What is t(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l)\/l*l**(-1\/7))\/(l*l**(7\/5)*(l*l*l*l**3\/l*l*l)\/l) assuming l is positive.\nAnswer: l**(-369\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115*b - 8020471 - 89*b + 8020473.\nAnswer: -1204*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2022121 (base 5) to base 7\nAnswer: -164405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 4 + 7\/3)*678. Let j = 258 - w. Suppose -2*i + 2*v = -320, -v - 519 = -4*i + 118. Calculate the remainder when i is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r**2\/2 - 6*r + 2. Is 17 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 + 16.491\nAnswer: 18.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 25*w - 10. Calculate b(-22).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 1719 = -33*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-28) - 144\/(-14). Suppose j - y = -2*n, 0*n - 10 = -2*n. Suppose j = -b + 39 + 56. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 + 9*d**3 - 2*d - 57?\nAnswer: 40*d**3 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.79 - -0.21. Sort s, -3\/5, 0.3.\nAnswer: -3\/5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 34 = 2*b - 4*b + 8*r, -25*r + 14*r - 13 = 2*b - 6*r for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82953, -83003, -83055, -83109?\n\"Answer: -b**2 - 47*b - 82905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(-12)\/4*-2. Suppose 0 = 2*g + 2*w, -2*g + 20 = 3*g + w. Suppose 10 = -5*s, -2*o - g*s = j*o + 25. What is the smallest value in 1, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 4 (b) -2 (c) 1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, 180, -5, 1, -84.\nAnswer: -84, -5, 1, 4, 15, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2915480, 2915483, 2915486, 2915489?\nAnswer: 2915492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -116 - (-2 + 3) - (-3 + 7 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 36)*((-4)\/12 - (-20871)\/(-81))?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 3*i**2 + 21*i - 6. Let k be p(3). Find the third derivative of -129*c**6 - 22*c**6 + k*c**2 - 5*c**2 - 10*c**2 wrt c.\nAnswer: -18120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-2 - -13) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -71, -0.3, 1, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -133*b - 4446. What is the smallest common multiple of 2717 and o(-39)?\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 26*l**3 - 85*l**2 + 58*l.\nAnswer: l*(l - 2)*(l - 1)*(l + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(60\/4))\/(((-1216)\/(-3819))\/64).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:54 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*w - 2, -6 = -5*k + 3*w - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9 or 53407087?\nAnswer: 53407087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21249 and 554724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4060301114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - 25 - -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -600 + 606.55. Let q = v - 6.69. Suppose -5*o + 6 = -14. Which is the second biggest value? (a) q (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 25. Let w = -12.00048 + m. Round w to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12792883 is divided by 4833?\nAnswer: 4765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07599 + -21.12401. What is the smallest value in 1\/2, w, 2\/37?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, 2025, 8622, 21511, 42798, 74589?\nAnswer: 118990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 + 1656*v - 1660 = 0?\nAnswer: -415, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**3 + 6*f**3 + 3*f**3 - 6*f**2 - 4*f**3 wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + -7)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1\/2*h**3 + 1\/100*h**5 + 0 - 7\/60*h**4 - 9\/10*h**2 - 6*h. Factor s(q).\nAnswer: (q - 3)**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 337*f + 55. Let q(k) = 704*k + 109. Let o(p) = -6*q(p) + 10*y(p). Find the first derivative of o(b) wrt b.\nAnswer: -854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989853 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132552 is divided by 306?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 9\/((-3)\/3630*-231).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l**4 - 23*l**4 - 5*l**4 + (-3 - 2*l**3 + 3)*(0*l + 2*l - 3*l).\nAnswer: -35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:07 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-35)\/15*(5 - 3). Sort 12, d, 4, -1\/3.\nAnswer: -1\/3, d, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -487380.\nAnswer: 1\/162460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760286004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/6 + u**3\/6 + 900*u**2. Let f(j) = -3*j. Calculate f(y(a)).\nAnswer: 12*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12439786 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3481 is divided by 210.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.163681 millennia?\nAnswer: 1.63681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2 = 2*h, u - 35 = 8*h - 88 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2077, 4155, 6237, 8323, 10413?\nAnswer: 12507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -2*s + 4*p, -2*s + 825*p = 829*p + 70 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 6?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.4, 2, -0.2, -1\/8714?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 4*t - 17. Let x be j(6). Is 238 - 15\/x - 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590577*-17.\nAnswer: -10039809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/120 + 11*u**5\/60 - u**4\/6 + 11*u**3\/6 + u**2. Let v(c) = 3*c - 2. Let w be v(4). What is the tens digit of p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7812, 7761, 7714, 7671, 7632, 7597, 7566?\n\"Answer: 2*o**2 - 57*o + 7867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -883 + -10. Let j = 890 + f. Which is the fourth smallest value? (a) 1 (b) 0.005 (c) j (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**5 - p**4 - p**2 - p + 1. Let a(u) = 4*u**5 - 4*u**3 + 10*u**2 + 12*u - 4. Let x(s) = -a(s) - 6*l(s). Factor x(j).\nAnswer: 2*(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(((-35)\/2)\/7). Let i be (2 - t)*(-6)\/12. Solve i = f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -145. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from ymjvs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 1300*v + 3902\/3.\nAnswer: -2*(v - 1)*(v + 1951)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1631 and 6\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -221675 or -2438416\/11?\nAnswer: -2438416\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173990?\nAnswer: 2, 5, 7, 13, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - 2*l)*(2 - 1 + 1) + 0 - 15*l + 1 + 21*l.\nAnswer: 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-75)\/(-2)*(-4 + 156\/15). Let i be (-4)\/(-22) - m\/110. Let k be 6\/i + (0 - -1) + 4. Solve 0 = -u - k*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 8956*r\/3 - 10026242\/3.\nAnswer: -2*(r - 2239)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -47, -79?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6044598 and 11\/64.\nAnswer: 193427136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702.6 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4046 and 2935560.\nAnswer: 349331640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/(((-9)\/(-2))\/(-9)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7927 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, a: 6, s: 4}. What is prob of sequence seae?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 25745*h + 8895250.\nAnswer: -5*(h - 5474)*(h + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 182021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 153*o + 1950.\nAnswer: 3*(o - 26)*(o - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + 33\/2. Let p = v - 7. Suppose 2*n = -3*s + 3 + 29, 2*n = -p. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 955568 and 955568?\nAnswer: 955568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exeeeexxxee. Give prob of sequence xxe.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3398*u - 4519. What is the ten thousands digit of a(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j = 421 + 427 + 692 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 - 1256*g - 36074. Give q(-175).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8)*(0 - 0). Suppose i*k - g - 1 = -k, -25 = -k - 5*g. Solve 0 = -k*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 2*q + 1\/20*q**6 - 1\/168*q**7 + 0*q**2 + 0*q**3 - 1 - 3\/20*q**5 + 1\/6*q**4. Factor g(v).\nAnswer: -v**2*(v - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 3*u**2 - 10*u - 8. Let i be j(-1). Differentiate 79 - 22*p**i + 39 + 25*p - 11*p - 10*p wrt p.\nAnswer: -44*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 + 18*h + 1. Let u(z) = -30*z**2. Determine s(u(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/158)\/((-1)\/(270\/9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142136767 to the power of 1\/2, to the nearest integer?\nAnswer: 11922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -527\nAnswer: -1475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(1 + -1) - (750 - 709)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -945117 by -3.\nAnswer: 315039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*1*4*(-126)\/336. Which is the biggest value? (a) -3 (b) -171\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 327496705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.3050563 to zero dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z**4\/7 - 1504*z**3\/7 - 12736*z**2\/7 - 29184*z\/7 + 4608\/7 = 0.\nAnswer: -12, -4, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19\/a**18*((a**(-14)\/a)\/a)\/a*a\/(a\/(a\/(a**(-1\/3)\/a))))**(6\/13) assuming a is positive.\nAnswer: a**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let a(q) = 4*q**3 - 3 - q**2 - 147*q - 3*q**3 + 1 + 149*q + 6. Is 12 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567) - (2*sqrt(112) + sqrt(112))**2) + (-3*2*sqrt(21) + sqrt(21))\/sqrt(3).\nAnswer: -1007 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/24 + (-1)\/(-3). Let w be 1*k\/12*6. Suppose 2*r = -w*m - 11 + 33, -3*m = -5*r + 63. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232785.506 - -40.\nAnswer: -232745.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/85*26\/((-104)\/(-20))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let j(t) = 223*t**2 - 404. Calculate j(h(x)).\nAnswer: 892*x**2 - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 0\/(47\/((-517)\/132))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39087*k**2*m**2 - 6*k**2*m - k**2 + 38*k*m wrt m.\nAnswer: 78174*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-7))\/y**7)\/(y\/y**(-2\/5)*y\/(y**(-4)\/y*y)) assuming y is positive.\nAnswer: y**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 + 21*t - 26. Let r(l) = -11*l**2 + 32*l - 41. Let c(k) = -8*i(k) + 5*r(k). Calculate c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -27*f - 351. Let w be h(-10). Let s be (w - -84)\/(6\/20). Solve -s*c + 11*c + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 24*p - 128. Let d be g(-5). Let i = -156 + d. Is i equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12157 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Let j = 1 - w. Is j <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0, 7 in ascending order.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 442270.126 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:30 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.012 - 0.272. Let q = 0.14 - g. Which is the biggest value? (a) 0 (b) -4 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90.86+10079230\nAnswer: 10079139.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c - 303. Let t be h(22). Solve 2*w = 10, 3*v - 5*v - t*w + 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1451 - -1446. Is -6\/5 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 23149*m\/2 + 487011.\nAnswer: -(m - 23191)*(m + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 3*y. Suppose 2*d + 18 = y*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3228*t - 2393 - 19165 = 3222*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 - (2 - (11 - 5))) - (1 + 81)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 752*f - 839*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39612175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-176))\/(((-7)\/(84\/54))\/129).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 7 - 4 - 2*o)*(-2 + 5 + 5) to a*o + p and give p.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171410000 rounded to the nearest 1000000?\nAnswer: 3171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + k + 9396 + 186.\nAnswer: k + 9820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h = -2 - 133. Solve -2*w = -4*w + h*p - 4, -w = p + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -53. Which is the closest to 1? (a) -6 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*s + 91*s + 1340*s + (-2 + 4 - 1)*(s - 5*s + 5*s) to the form h*s + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-132)\/(-12))*-3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 60. Let f be -1 - -104 - (126\/(-14) - -12). What is the highest common divisor of x and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*i + 2111, 2*s = 3*i - 226 - 1040. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z + 38 + 57. Let k = -6081\/4 + 1528. What is the common denominator of 25\/z + (-292)\/(-16) and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(1\/3)\/g)\/g)**(-3\/23)\/((g**(-1)*g)\/g*g)**(-1\/2))**(10\/11))**(-1\/49) assuming g is positive.\nAnswer: g**(-50\/12397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -21*u - 6. Let x be 11\/(44\/8) - 3. Calculate the remainder when 73 is divided by z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000111101110110000111 (base 2) to base 9.\nAnswer: 22177220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325441555 (base 6) in base 14?\nAnswer: acaa63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 172*k - 6804. What is o(110)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**3 + 8*k**2 + 2*k - 6. Is c(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 5*f**4 - 3*f**4 - 411*f + 2984 + 0*f**4 - 2989 in the form z*f + g*f**3 + o*f**2 + s*f**4 + c and give z.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100 in -0.1, -1.046, -2\/9, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.559 + -0.103. Let r = -0.26 + i. Round r to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-15)*-15*6\/2. Calculate the greatest common divisor of 80 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*k**3 - 3658702*k + 3658702*k + 1050*k**3.\nAnswer: 901*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117943?\nAnswer: 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53292, 213190, 479696, 852816, 1332556, 1918922?\n\"Answer: t**3 + 53298*t**2 - 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*w**5 + 4*w**4 - 4*w**4 - 6*w**2 + 9*w**2 wrt w?\nAnswer: -1860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9975*o**3*y**3 - o**3*y**2 - 7*o**3 + 6*o**2 + o*y**5 + 30*o wrt y?\nAnswer: 59850*o**3 + 60*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 + 9*z + 11. Let h(j) = 2*j**2 - 4*j - 5. Give -7*h(p) - 3*m(p).\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 47, 104, 201, 350, 563, 852?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019679945.\nAnswer: 3, 5, 409, 166207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 1, -1\/2, -0.06, -3\/8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029822 minus -3499?\nAnswer: 3499.029822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -484700 and 0.\nAnswer: -484700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 4. Let s(w) = -11*w - 9. Let o(v) = -9*n(v) - 4*s(v). Let j(a) = 2*a**3 - a. Give -2*j(x) + 2*o(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c - 34. Determine v(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 7*c**2 + 5*c - 4. Let x(b) = -b + b**2 - 6 + 3*b + 5*b. Let u be x(-7). Calculate p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 + 5*b**2 - 4*b - 7. Let q(d) = 2*d**3 - 2*d**2 + 2*d + 3. Calculate 7*q(j) + 3*y(j).\nAnswer: 2*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 590*j**4 - 4*j - 38789 wrt j.\nAnswer: 2360*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133.3 - 90.2. Let k = 43 - w. Which is the fourth smallest value? (a) -0.3 (b) k (c) -4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26663.8 rounded to the nearest one hundred?\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1\/65, 2, -418, -1\/4, 3?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from ypppppppyypypp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {c: 9, k: 4, w: 2, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761108957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -93. Let z be (12\/8)\/(s\/4). Solve 0*a + z*d - 5 = 2*a, 2*d = -a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117) + -3*(sqrt(117) + sqrt(117)*3 + sqrt(117)))))\/(-1*sqrt(63)\/sqrt(7)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzdd when four letters picked without replacement from {z: 3, h: 2, e: 4, d: 6, n: 2}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/4)\/(((-33)\/297)\/(4\/18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -7067?\nAnswer: -7070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let n(t) be the second derivative of 145*t**4\/12 - t**2\/2 - 661*t. Determine n(r(y)).\nAnswer: 145*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 2*q - 2. Let j be 1\/(-1*(-4 - 78\/(-18))). Determine m(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 1, b: 1, u: 2, z: 2, a: 1}. Give prob of sequence uub.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let s(t) = 15*t**2 + 4*t - 39. Give s(l(r)).\nAnswer: 60*r**2 + 8*r - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405782 and 9542.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 + 4 = 0. Suppose 0 = 2*i - 4*f - 12, -3*f + 16 = -4*i - 5*f. Which is the biggest value? (a) -0.4 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 + (56 - 60).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.9 - 16. Sort h, -2\/3, 5.\nAnswer: -2\/3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1*5 - (-2*sqrt(171)*1 - sqrt(171)))\/(((1*sqrt(81) + sqrt(81))*4 - sqrt(81))*-1).\nAnswer: -8*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361741681.\nAnswer: 7, 51677383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*111\/(-75) + (-4)\/10. Let w(b) = -94 - z*b**2 + 0*b + 0*b + 97. Let p(s) = 20*s**2 - 8. Suppose -x + 5 = -6. Calculate x*w(f) + 4*p(f).\nAnswer: 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-25) - 46\/(-10). Suppose 36*z = -2*u + 32*z + 8, 5*u - 3*z = -19. Sort q, -6, -5, u in increasing order.\nAnswer: -6, -5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 264 = 63. Which is bigger: y or -764\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 2*j**2 - j + 4. Let x(r) = 2*r - 6. Let i be x(3). Let m be (4 - 4 - i) + 0. Let z be y(m). Solve 2*a + 8 = z*o, -3*o - 2*o - 4*a = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 35. Let q(g) be the first derivative of 2*g**2 + 70*g + 2242. Determine 11*p(d) - 6*q(d).\nAnswer: -2*d - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 less than 5.2?\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 7*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 6\/5*b**5 + 16*b + 8\/3*b**3 + 0*b**2 + 0 + 0*b**4. What is the second derivative of y(c) wrt c?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -0.35 (c) 1 (d) 281 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 1 (c) -1\/2 (d) -0.2 (e) -1\/8 (f) -0.06142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*o**5 - 606*o**4 + 1317*o**3 + 126*o**2 - 1344*o + 480 = 0. What is o?\nAnswer: -1, 4\/9, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*t**3 + 4776*t**2 + 391425240 with respect to t.\nAnswer: -189*t**2 + 9552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l**(-8)*l*l*l)))*l**(1\/26) assuming l is positive.\nAnswer: l**(157\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 401398, 802655, 1203912, 1605169, 2006426?\n\"Answer: 401257*n + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8711705 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(132)\/(sqrt(2816)\/sqrt(4)))\/((1*sqrt(6) + sqrt(6))*1 + 3*sqrt(6)*-1) + -2).\nAnswer: -12 - 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.58 and -8005?\nAnswer: 4642.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 + 23 = -4*g, 2 = -5*k - 4*g. Suppose 0 = 5*m - k*p - 25, 2*p + 23 = 4*m + p. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1. Suppose -111*f - 3 = -112*f - 3*v, 3*v - 6 = 0. Let b = 1.5 + -1.1. Sort b, q, f in increasing order.\nAnswer: f, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53600 + -322?\nAnswer: 53245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 140\/49 + (22\/(-6) - 9\/27)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**23*d)\/(d**(3\/10)*d*d)*(d**(5\/4))**(1\/2))**35 assuming d is positive.\nAnswer: d**(-6069\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4814 + 4.48188178. Round t to five decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14988*h + 14832*h - 11700 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -86, -84, -82, -80?\n\"Answer: 2*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + -0.32. Let v = 551.76 - 554. Let k = p - v. Is k >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466558, 933116, 1399674, 1866232, 2332790?\nAnswer: 2799348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-16)\/24*9. Let y(h) be the third derivative of h**6\/120 - 7*h**5\/60 + h**4\/4 + h**3 + 2*h**2. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x - 15 = 0, -4*t + 39 - 19 = 2*x. Suppose v - 26 = t*n, 6*n - 2*n = 8. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*w - h**2 - 32*h*w**2 - 23 wrt w.\nAnswer: 2*h**2 - 64*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.4, -4, 6086, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 + 18*n. Let b be u(-6). What is the highest common factor of 44 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*f**5 - 323*f**2 - 51014*f wrt f.\nAnswer: -880*f**3 - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5 - 5, 0 = 5*f - v - 110. Let i(g) = g**2 + g + 12. Let w be i(-6). Let o be (63\/6 + -6)*w. Calculate the greatest common divisor of f and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 17*x - 19*x + 40, -3*x - 4 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 64, 97, 130, 163, 196?\n\"Answer: 33*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5261 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11340248 and 2634.\nAnswer: 34020744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3846, 7432, 11016, 14598?\nAnswer: 18178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -32\/5*z**5 + 0*z**4 + 1\/3*z**3 - 251*z - 266 + 0*z**2. Differentiate y(p) with respect to p.\nAnswer: -128*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 8, -3, 461, -33 in increasing order.\nAnswer: -33, -3, -1, 1, 8, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u + 16. Let r be k(-2). Suppose -x - r = 0, 5 = m + 2*x - 3*x. Factor 1\/5*h**5 - 3\/5*h**m + 2\/5*h - 1\/5*h**4 + 0 + 1\/5*h**2.\nAnswer: h*(h - 2)*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55337625?\nAnswer: 3, 5, 7, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.1948 minutes to nanoseconds.\nAnswer: 1631688000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 - b - 14. Let a(r) = -33*r**2 - 3*r - 28. Let u(w) = -2*a(w) + 5*j(w). Determine u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1213? (a) -3\/4 (b) 6096 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210979073.\nAnswer: 2887, 73079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 12*b**3 + b**3 - 5*b**3.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 137789*h**2\/3 + 1582127745*h + 1582173675.\nAnswer: (h - 68895)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28251 is divided by 28212?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let u = -23 + 22. Let q be 1*(u - -9)\/4. Solve 4*k + 2 + q = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -0.1108, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1476 and 30?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:52 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4419.233l to millilitres.\nAnswer: 4419233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3957, -4003, -4049, -4095, -4141?\n\"Answer: -46*t - 3911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.8 (c) 2\/17 (d) -0.2 (e) 3 (f) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377565191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -3.8. What is s rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 10*j**2 + 4*j - 6. Is 14 a factor of o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -73*v**3 + 2*v**2 + 10*v - 23. Determine g(2).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433 + 435. Let b(w) = -w + 5. Let l(n) = -n + 11. Determine x*l(j) - 5*b(j).\nAnswer: 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656815 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1067, 5828, 18763, 43964, 85523?\n\"Answer: 682*r**3 - 5*r**2 + 2*r + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:53 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8512759 millilitres to litres.\nAnswer: 0.0008512759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249580, 249582, 249584, 249586, 249588, 249590?\nAnswer: 249592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 382*p - 16421. Let s be k(43). Determine z so that -9\/4*z**2 + 1\/4*z**3 + 6*z - s = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 11*p**2 - 12*p + 2. Let i be q(12). Solve i*b - 1 = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 11\/5*j**5 - 14\/3*j**3 - 11 + 0*j**2 + 0*j + 0*j**4. What is the third derivative of y(s) wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-15)*(-3)\/26. Let o be (-111)\/108 - 2\/9. Which is the smallest value? (a) 3 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 66*c**4 - 144*c**3 + 6*c**2 + 141*c - 72.\nAnswer: 3*(c - 1)**3*(c + 1)*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/69 - 3\/23. Let m = -719 + 715. What is the nearest to 4 in 0.4, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143 - 2583787?\nAnswer: -2583644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12134044 (base 5) to base 9\nAnswer: -184545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 - -3 - -5 - -153 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -209, -2\/13, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 - 1120?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*k**3*p**2 - 2*k*p**2 - p**2 - 4 wrt k.\nAnswer: -99*k**2*p**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a + 3. Let j = 1 + a. Solve v - 3 = j, -2*h - v - 4*v + 13 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4423*y + 204126 = 7040*y for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v - 1. Let j be r(1). Suppose -5*l + 18 = -2*q, -6*l + j = -3*l - 3*q. Solve 3*b = -5*c + 29, 4*c - 10 = l*b - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-1)*3530\/(-15) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988942005 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/16*(-5)\/((-40)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8487 + -8376. What is the remainder when 998 is divided by l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-41)\/(-4))*(6 + -2). Calculate the highest common factor of 87 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 3:56 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 232*(-1)\/(-212)*53?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:33 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.79759 litres to millilitres.\nAnswer: 55797.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*i**3 + 3*a*i**2*l - a*i**2 - 9*a - 168*i**3*l + 14*i*l - 2*i wrt i?\nAnswer: 6*a*i + 6*a*l - 2*a - 1008*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 32 (b) 8 (c) -1\/4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265172*p**4 - 63*p - 2827?\nAnswer: -3182064*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/(-5) + (-2)\/5. Factor 4166*g**2 + 4 - c*g - 4 - 4168*g**2.\nAnswer: -2*g*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*r - 24, 40*r - 38*r - 2*b = 8. What is the lowest common multiple of r and 220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -100212?\nAnswer: -100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*t - 0 - 2, 0 = -5*u - 5*t - 25. Sort -4, u, -7 in descending order.\nAnswer: u, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 102*b**2 + 300*b + 308. Give w(-99).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Let g = t - 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ac (base 16) in base 3?\nAnswer: 10101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = -69*f - 105 + 9 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2 - (-3 - (19 + -15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 11*w**7\/210 - 23*w**5\/60 - 14*w**2. What is the third derivative of l(r) wrt r?\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8826872 is divided by 831.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11996 + 66?\nAnswer: -11930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 + 2*y - 27. Let a be k(12). Let u(w) = 38*w**3 + 2*w**2 - w - 6. Let c be u(a). Let j = 1568 + c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 14*r - 88. Calculate p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.205 - 0.205. Let s = -3.4 + 0.4. What is the nearest to 0 in -9\/2, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102212021001 - 2?\nAnswer: 22102212020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3\/5 (b) 1\/21 (c) -0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2190 and 8833?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-721 + 1703 + 584)*(0*u - u + 0*u) + 5*u - 6*u - u)*(2 - 4 + 0).\nAnswer: 3136*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 31*v + 17. Give d(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q = -124, -2*x - x - 3*q = -69. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3028326 (base 10) in base 8?\nAnswer: 13432546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9*f. Let k = 1.08 - -2.92. Which is the nearest to f? (a) k (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28041296.\nAnswer: 2, 17, 103093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/22)*f\/(f\/f**(1\/27))*f*f**(-1)*f*f**(-4\/11)*f assuming f is positive.\nAnswer: f**(967\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - (-15)\/(-6). Let z(h) = 1 + 117*h - 120*h - 3*h**2 - 3 + h**2. Let f(k) = 3*k**2 + 5*k + 3. Give i*f(c) - 5*z(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(168\/96))\/(800\/40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**2 + 92612*g**3 + g + 2*g**4 - 92609*g**3 - 15*g**2 + 9 to the form v*g**3 + o*g**2 + s + d*g**4 + f*g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 10, -3\/5, -0.1, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 44000 = 0. Let x be (-3)\/(-2)*u\/(-3). Round x to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -17, -28, -39, -50, -61?\n\"Answer: -11*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126562194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(128))*-3.\nAnswer: -24*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*t - 198. Let s be 3*1 - t\/11. Is 20\/3 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0 - 10 = 24147*r - 24175*r, 3*r + 4*q = q - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786158 is divided by 1194?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7714*f**4 + 5009*f.\nAnswer: 92568*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) + (-21)\/945?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/7 + 27*a**3\/7 + 72*a**2\/7 + 60*a\/7.\nAnswer: 3*a*(a + 2)**2*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1724 and -5\/3.\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 21. Let i = w - -12. Let v(o) = 13*o**3 - 9*o**2 + 4*o + 9. Let y(z) = -3*z**3 + 2*z**2 - z - 2. Determine i*y(g) - 2*v(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 10*b - 40. What is the smallest common multiple of 4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {n: 9, b: 4, p: 1}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 + 160. Suppose -r*b + 117303 = 30797. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211455 or -1\/2?\nAnswer: 211455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1893.1.\nAnswer: -189.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 - 8*f**2 + f**3 + 19*f**2 in the form h*f + i*f**3 + v*f**2 + q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581357138.\nAnswer: 2, 290678569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-10)*(-55)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (234\/(-260))\/(12\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 0.21, 17?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.4. Let x be (-8)\/(-12) - 40\/6. Let c = 9380 - 9379.8. What is the closest to x in o, c, -1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -13. Suppose -16 = -5*y - h, -3*h = y - 0*y - 6. Suppose -30 = -b - y*f, f + 130 = 3*b - 0*f. Calculate the highest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2930.2 + -2933.2. Let d be (-1)\/((1 - 2)*-11). What is the second biggest value in s, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876497109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 131688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 + -7. Let v = 33 - 34.3. Let l = -1.2 - v. Which is the third biggest value? (a) l (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 54. Let a(b) = -b**3 - 29*b**2 - 31*b - 112. Let v be a(-28). Let y = f + v. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z**(-3\/8))**25*(z\/(z**(-1)\/z)*z\/(z*(z**8*z*z)\/z*z))\/((z*z**(-6)*z)\/z**(1\/7)) assuming z is positive.\nAnswer: z**(4565\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*k + 82*k - 137*k)*(4 + k**3 - 6 + 4*k**2 - 2*k**2).\nAnswer: 14*k**4 + 28*k**3 - 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s - 2516. Calculate m(-122).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017519332 less than -1?\nAnswer: -2017519333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/30)\/3)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*v**3 - 518*v**3 + 362*v**3.\nAnswer: -570*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/8, -6, 0 in ascending order.\nAnswer: -6, 0, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 289*k + 2498. What is the remainder when a(-8) is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485281591.\nAnswer: 97, 5002903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1192 + -0.1192. Which is the closest to -0.3? (a) -1\/7 (b) -0.3 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*d - 18, 5*d + 8 = -3*a + 21 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8279 - 18929 = 2299*n + 10041 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1507741?\nAnswer: -4\/1507741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 3*x + 7 + 6 + (-3 + 1 + 4)*(3 - 3 - x) - x - x + 3*x to b*x + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/135 and -23\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -438.64 - -446. Round r to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**2 - 1\/2*b**3 + 15 - 1\/4*b**4 - 14*b. Let q(w) be the first derivative of y(w). Factor q(v).\nAnswer: -3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/(-20))\/(-51) + (-10)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:13 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20366*x. Let k(t) = -1860*t**2. Calculate k(r(b)).\nAnswer: -771479558160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 12 = -j + 2, -4*j - 4*c = 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571\/(-5710)*36\/(1*2).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/144936 and 131\/12078?\nAnswer: 144936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -27.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6933 in 21, 0.2, -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270.9999457 + 271. Round t to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 19*u**2 - 7*u - 5. Does 29 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (3 - (-2 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -12777b?\nAnswer: 127782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 11*o**2 + 36*o + 18. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43599889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*p + 6*p - p**2 - 28*p - 2 to k + h*p**2 + b*p and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 2*d**3 + 14*d - 13*d + 12*d**4 - 20 in the form b*d**2 + c*d + t + q*d**4 + z*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 317104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 22*v + 75. What is the units digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 - 5*s + 5*s.\nAnswer: 61*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 502110616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 21. Suppose -a = f*a + 15. Calculate the smallest common multiple of 5 and (a + (-24)\/(-9))*-6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0581 + 0.3111. Which is greater: 2\/7 or s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/126 or -1\/166?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185916*d*y**3 - 2*d*y**2 - 2*d - 13*y**6 + 3*y**2 - 2*y - 903 wrt y?\nAnswer: -1115496*d - 1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-21))\/(16\/(-56)))\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 694190.5km?\nAnswer: 694190500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:07 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 47*l**3 + 11*l**2 - 3*l + 2. Let t(y) = -23*y**3 - 5*y**2 + y - 1. Let k(a) = -3*c(a) - 7*t(a). Let j be k(-1). Let u = j - -35. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133295 is divided by 7350.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 87. Let g be 6\/(s\/8 - (2 + 0)). Factor -10\/11*l**3 - 2\/11*l**g + 0 - 8\/11*l - 16\/11*l**2.\nAnswer: -2*l*(l + 1)*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18171, 36243, 54313, 72381?\nAnswer: 90447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2057)*-1)**2 - (sqrt(153) + (sqrt(153) - (2 + sqrt(153))) + 4)**2.\nAnswer: -34*sqrt(17) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 12*h - 42. Let f(g) = -2*g**2 + 197*g - 495. Let k be f(96). What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -655 or -5?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 + -232.564. Round f to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2*v + 7 - v**2 - 5*v. Let l(t) = t**2 - 11*t - 7. Let c be l(11). List the prime factors of z(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6 + 3*r**5\/5 - 47*r**4\/4 - r**3\/3 - 47*r**2\/2 - r - 2356. What is the third derivative of p(h) wrt h?\nAnswer: -360*h**2 + 72*h - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 3*k**5 + k**5 + (4 - 3 - 11)*(0*k**5 - k**5 - 4*k**5) + k**5 - 2*k**5 + 0*k**5 + (4 - 4 + 3*k)*(0*k**2 + 0*k**2 - 3*k**4).\nAnswer: 42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/7)\/c**(2\/25)*(c*c**(3\/5)*c*c)**(-48) assuming c is positive.\nAnswer: c**(-30379\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {m: 3, n: 1, l: 3, y: 3, t: 4, p: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32346067 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 - 2*a**3 - 2*a**3 + (-2 - 1 + 0)*(-4*a**3 + 6*a**3 + 0*a**3) - 9*a**3 + 10*a**3 - 11*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*g**3*j*r**2 - g**3*j - 146*g**3*r**3 + 33502*g**2*j*r**2 - 2*g*j*r**3 + 31726*g*r**3 + 3*r wrt r.\nAnswer: -876*g**3 - 12*g*j + 190356*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42861960.\nAnswer: 2, 3, 5, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 51, 44, 23, -18?\n\"Answer: -h**3 + 2*h**2 + 2*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3 - 88*n**2 - 92*n = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 7:25 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z + 2*z + 2*z + (2*z + 4*z - 4*z)*(2 + 4 - 4) - z + 6*z + 5*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9113 and 13637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1884)\/10*(-170)\/102?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -55. Let b(q) = 2*q**2 + q - 2. Let r be b(l). Let a be -1 - (-2)\/r - -323. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7213, 14446, 21679, 28912, 36145?\nAnswer: 43378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 - 6*p - 97. Give w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 246*a - 6. Let j(x) = -3*x**2 + 271435615 - 271435615. Determine m(j(l)).\nAnswer: -738*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6819 divided by 3\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1718*b**5 - 1553*b wrt b?\nAnswer: -34360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 383398673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 11 = n - 44, n + 0*n = -1 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 14*k + 4*k)*(2*k + 3*k - 3*k)*((4 - 2 + 0)*(5 - 4 - 3) + 2 + 2 - 3) to the form c*k**2 + w*k + b and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082883 and 132394.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16790491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 160, 356, 694, 1222?\n\"Answer: 8*x**3 - x**2 + 49*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4600 divide 398686600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + o + 35 = 0, -o + 19 + 10 = g. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381 - 386. What is the smallest value in -0.071, u, -2\/5, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000209095952 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 157, 226, 295, 364?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 200*l + 21407. What is j(-107)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let u be (-3)\/12*806\/(-31). Let m(v) be the first derivative of -u*v**2 + 7 + 0*v. Give m(a(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 3*h + 4. Let k be (2\/4)\/((-1)\/(-8)). Let r be w(k). Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 3 - 2*f**4 + 7 with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157520 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74798881 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uccu when four letters picked without replacement from {c: 2, u: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1106 = 10*w - 8564. List the prime factors of w.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:01 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 10*g - 21. Let y be j(5). Suppose 508 = y*t + 48. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10)\/(1\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-105)\/(-14)*(6 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1008) + -1 + -4 + sqrt(1008) + -2*sqrt(1008) + -3) + sqrt(252)*-1 + 0 + -2*sqrt(252)*-2)**2.\nAnswer: -1440*sqrt(7) + 3868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(2\/3)*t)\/t)**(-16)\/(t\/(t**(1\/3)\/t))**(2\/65))**(-10\/11))**(-8) assuming t is positive.\nAnswer: t**(-3040\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/sqrt(9)*-4*-4 - (-5 + (sqrt(10)\/(-1*sqrt(405)))**2).\nAnswer: 403\/81 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 14 - 5*d)*(-73*d + 11*d - 3*d) in the form c*d + b + h*d**2 and give h.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkhhgwhhhhgbgggggwg. What is prob of sequence bhw?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11756 by 2.\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-48965)\/(-20))\/(-7)*-12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 6) + 12 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753459639.\nAnswer: 3, 1847, 135979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14040864*m**2*z + 9613934*m*z - m wrt m?\nAnswer: 28081728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -4, -0.06, 13.\nAnswer: -4, -0.21, -0.06, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 31 + 7*u + 2*u - 2*u - 31.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(175)*1 + sqrt(175).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 19*p**4\/4 - 113*p**3\/6 + 23*p**2. Find the first derivative of x(j) wrt j.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1240 = -4*z - 2*j, -2*j + 18 - 328 = -z. Let s = z - -1342. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137308 to 5 decimal places.\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/120 + 2*m**5\/15 - m**4\/4 - m**3\/3 + 555*m**2. Let z be (-40)\/(-6) - (-1)\/3. What is d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Let o be h(-4). Let w(s) = -14*s**2 + 6. Let z(n) = -n**2. Let a(d) = o*w(d) - 5*z(d). What is the derivative of a(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2.06, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 14) to base 2.\nAnswer: -100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -5. Suppose 0 = o*p + 10 - 40. What is the greatest common divisor of p and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1512*m**4 + 14724?\nAnswer: 6048*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 15. Calculate s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1605)\/(-1491))\/((-72)\/(-84)) + (-8)\/6. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 5 (b) 6.13 (c) -7\/4 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5\/3 + 56*w**4 - 276*w**3 - 29088*w**2 - 34560*w + 4147200.\nAnswer: 4*(w - 15)**2*(w + 24)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1274*u**3 + 4 + 1939*u**3 - 4.\nAnswer: 665*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*((sqrt(204) - ((sqrt(204) - -1*sqrt(204))*-3 - sqrt(204))) + sqrt(204)))\/(sqrt(1452) + 5*sqrt(1452)*4 + sqrt(1452))*3.\nAnswer: -243*sqrt(17)\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.2 (b) 25 (c) -14 (d) -4\/3 (e) 0.3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 2:39 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 34825*s**4 - 69610*s**3 - 139270*s**2 + 69615*s + 104445 = 0. What is s?\nAnswer: -1, 1, 3, 6963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9486837 - 5086831. Suppose 0 = 3*g - 4*l - 6600012, j = 2*g + 3*l - 5*l. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/2)\/(-3) - 3\/(-6). Solve 3*d - 18 = -o*p, -p - 5 = 5*d - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -17, 208, 0.3, 0.1, 0.4.\nAnswer: -17, -9, 0.1, 0.3, 0.4, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4521373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236681 is divided by 1686.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7)*j*j**6*(j**7\/j)\/(j*j**(-1\/2)*j))\/((j\/j**(-1\/4)*j*j**(1\/10)*j)\/(j\/(j\/(j**(-1)\/j)))**(-44)) assuming j is positive.\nAnswer: j**(1803\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1065 or -62972?\nAnswer: -62972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -23. Which is the closest to -1? (a) 0.2 (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 226780140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.4 + -7.8. What is the biggest value in n, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + 6 - 2 - 2 + (1 + 0 - 11)*(-2 + 4 - 4))*(o + 0 + 0)*(6*o**2 + o**2 + 3*o**2).\nAnswer: 210*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 223, 294, 143, -374, -1401?\nAnswer: -3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 273*0.5\nAnswer: 136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 21*s. Let n(o) = 6 - 2*o + 3*o + 0. Let t be n(-8). Let l be i(t). Round l to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 6 = 0. Let o be 39\/(-9) - l\/(-6). What is the units digit of o\/18 + 222\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {w: 1, c: 2, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 + 25*h - h**3 - 106*h + 23*h**2 + 0*h**3 - 65*h**2.\nAnswer: -(h + 1)**2*(h + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 92 = -0*u - 4*z, -z + 110 = 3*u. Suppose -3*i = -5*v - 39 + 110, -2*v = 2*i - u. Let o = v - -87. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p - 168*p + 13*p.\nAnswer: -110*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -635 + 639. What is the biggest value in -1\/6, 0, -12, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147287573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2088204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 - (-3 + (-3 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 37*k - 44*k + 96*k - 36*k.\nAnswer: -21*k + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35200536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 13*r**2 + 23*r - 17. Give u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 3*u + 901, 5*n + 3*u = 2200. Suppose 5*b + 165 = r, 3*b + 112 + n = 3*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -3 - (3 + (-3 - -1)). Solve -4*z + m - 7 = 0, -5*z + t*z - 4*m = -10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760975 is divided by 360?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 771467.\nAnswer: -11572005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a25 - -5?\nAnswer: -1a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836082831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 2*f - 34*f. Solve f*o - 12*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2 + 82*r - 162. Let u be b(2). Sort u, -2, -1, 0, 1 in increasing order.\nAnswer: u, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*l - 15, -2*g + 2*l = 111 - 119 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = z - 2*z - 46, 3*l - z = 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 28. Let w = t + -7. Let b = w + -1. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.89 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2075 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 + 7*h + 4. Let m be y(-2). Let j be m - 27\/15 - 572\/(-65). Let r = -3 - -6. Put j, r, -0.1, 0.3 in decreasing order.\nAnswer: j, r, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/21)\/(6\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 602 = c, 4*g + 8 = 0. Suppose c = -2*f - 3*f. Is 18 a factor of f\/4*1*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2)\/j))*j*(j**(5\/4)*j*j)\/j)**9\/((((j*j**(-1\/5)\/j*j)\/j*j)\/j**(-2\/7))\/((j\/j**6)\/(j*(((j**(-7)*j)\/j)\/j)\/j*j))) assuming j is positive.\nAnswer: j**(443\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2376511 - -2?\nAnswer: 2376513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -3\/4*p**5 - 35\/24*p**4 - 5\/3*p**3 + 0*p - 1\/42*p**7 - 1 - 5\/24*p**6 - 150*p**2. Find s such that v(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -17?\nAnswer: 64\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3212720 and 2800?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/2600 and -3\/832.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 91 (b) -1\/3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*2 + -7. Let c(g) = -g - 4. Let l be c(o). Suppose -2*n + t = n - 79, 2*n = -l*t + 42. What is the greatest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546721579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620426 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 62*j**2 + 16*j + 8. What is the least common multiple of n(-2) and 77?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4*(-1)\/(70\/(-224)). Let a be (40 - 6)*4\/s - -5. Let z be 2\/4 - (-63)\/(-6). Do a and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 13035274?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.26 - -0.76. Let s = 47.7 - 48. What is the second smallest value in q, -6\/5, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/12)\/(23\/(644\/42)))\/(-3)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-88))\/(26\/(-16)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) - (sqrt(5) + -4 + sqrt(5) + sqrt(15)\/sqrt(3))))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 55*f**3 + 2*f**2 + 2*f + 4. Let a(h) = -h**3 - h - 2. What is 2*a(t) + s(t)?\nAnswer: 53*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2010 - -4255. What are the prime factors of w?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -49 (b) 19 (c) -2\/83 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(56)\/sqrt(4))\/(-1*sqrt(252)).\nAnswer: -2 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 + -2840\/11. Let r = -1.96 + -0.04. Let o = -4 - -5. Which is the nearest to -1? (a) o (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 4, -5 in decreasing order.\nAnswer: 45, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328403 or 329365?\nAnswer: 329365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 386851.8 centuries?\nAnswer: 38685.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100110101100010011 (base 2) to base 5.\nAnswer: -220214130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(13 - (-6726)\/(-513)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.16 (b) -2 (c) -3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**3 + k**3 + 2*k**2 - 3*k**3 + k**3 + k. Let w be t(2). Suppose 5*v + 7*m = 12*m + 30, -5*m - 20 = 0. Solve -w*c = v*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-13)*h)\/h**3)\/((h*(h\/h**(-16))\/h)\/(((h\/((h\/(h\/h**(-4\/3)))\/h))\/h)\/h)) assuming h is positive.\nAnswer: h**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbblbbbblbbbbbbbll. Give prob of sequence lll.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 321310666917.056.\nAnswer: 321310666917.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/77 - 160\/231. Which is the biggest value? (a) l (b) -3\/2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 9 (c) 3 (d) 4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567279.\nAnswer: 3, 63031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-42)\/(-2)))\/(18\/36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4826*y - 8757*y - 520426 = -3393*y - 173966 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 5 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -449456 by 3.\nAnswer: -449456\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-1 - 117) + 50 + (-95 - -40).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 223111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46027 times 0.23\nAnswer: 10586.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -442, -438, -416, -370, -294, -182, -28?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18))\/((-5744)\/(-6462))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {n: 1, p: 3, o: 3, b: 1, w: 2, a: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*198281.\nAnswer: 39656.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + sqrt(3024)*-1*5)\/(-6*(sqrt(432) + sqrt(12))).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-77) - (-1689)\/11 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m - 4. Is b(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -3*m**2 - 1\/30*m**3 - 1\/60*m**4 + 0 + 0*m + 1\/100*m**5. Factor s(t).\nAnswer: (t - 1)*(3*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*35\/(-20)*8\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkks when four letters picked without replacement from kkstksksos.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - -1 - 0) + -924 + 937.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x**(-6))**50 assuming x is positive.\nAnswer: x**(-575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 + 27*o - 67. What is the hundreds digit of b(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9055, 9343, 9631, 9919, 10207, 10495?\n\"Answer: 288*z + 8767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 20. Let w = -12 - a. Let s be (w + -1)\/(-2)*1. Solve -s*p = -4*h, -3*h - p = -0*p + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 - 6*w\/11 + 36\/11.\nAnswer: -2*(w - 3)*(w + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1074734*r*t + 6607*t + 2065 wrt r.\nAnswer: -1074734*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - 375*x**2 - 99*x + 6. Let l(t) = -7*t**3 + 375*t**2 + 98*t - 9. Let u(q) = -2*l(q) - 3*z(q). What is the second derivative of u(s) wrt s?\nAnswer: 12*s + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 1. Let y(s) = -5*s**2 + 2*s - 2. Let r(j) = -2*a(j) - y(j). Let c(f) = f**3 - 3*f**2 + 5*f. Determine 2*c(b) + 5*r(b).\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1859, -3577, -5227, -6809, -8323, -9769, -11147?\n\"Answer: 34*o**2 - 1820*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*x - 18, -x - 19*v + 16*v = -12. What is the third smallest value in 2\/3, -70, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 67*t**2 - t + 2. Is x(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -283080.7225 and -4?\nAnswer: 283076.7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i + 4. Let s = -400 + 412. Suppose x + 20 = 3*v, 3*x + v + s = 2. Calculate w(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/9 (b) -1\/2 (c) -14 (d) -0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/7 + 24*y**3\/7 - 138*y**2\/7 - 160*y\/7 = 0?\nAnswer: -16, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 125 - 100 = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r + 2*r)*((3*r - 195 + 195)*(2*r**2 + r**3 + 0*r**2 + 0*r**2) - r + r + 2*r**4) - 118*r**2 + 118*r**2 + 56*r**5.\nAnswer: 71*r**5 + 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 8}. What is prob of sequence yyp?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = 2*r - 2*u - 3*u, -2*u + 4 = 0. Let n = r - -656. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11500840 (base 10) in base 9?\nAnswer: -23568161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*l**2 - 230?\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.532 - 1.5. Let o = 0.053 - z. Round o to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:52 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/30 - l**5\/15 - l**4\/6 + 2*l**3\/3 - 8*l**2. What is s in c(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 0 + (13 - (-2 - -4) - 52)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/60 + (-6)\/(-12)*-1. Which is the smallest value? (a) 4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84830.\nAnswer: 2, 5, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 21. Suppose q*x = -5*x - 5*n, -3*x + 5*n = -32. Suppose -x*a = -140 - 12. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2898 and 530334?\nAnswer: 530334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*h + 1 - 20*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g - 2. Let j be w(2). Let a be (12\/(-9))\/(5*(-10)\/150). Calculate the highest common divisor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*q + 7, -28 = -4*b - 440*q + 436*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146964 - 146962. Factor 15\/2*y + 18 + 3\/4*y**t.\nAnswer: 3*(y + 4)*(y + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*p - 121*p - 405 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.27348 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/10 - (-24)\/5. Is (-2)\/8 + (-3173)\/m*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -36 (c) -1.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 42902, -1\/6 in descending order.\nAnswer: 42902, 1, -1\/6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105080014 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 24 + 1 + 0\/3. Suppose 4*c + c - t = 0. Solve 2*k + 2*y = -2, 0*k - 4*y + 5 = -c*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j + 130. Suppose -5*t + 239 = -2*i + i, i - t = -239. Let x = j - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 64*z = -22*z + 847. Let w(l) = l + 2. Let p be w(-5). Let d = p - -6. What is the lowest common multiple of d and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -9. Let d(i) = -i**2 + 6*i - 5. Let l be d(p). Is (-18)\/(-45) + (-663)\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 + 3*g**2 - 3*g - 3*g + 3*g**2 - g**3. Let x be l(3). Is 26 a factor of (-8)\/x + (-750)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/((-3)\/(-12)). Let z be (g - 14)\/((-9)\/15). Factor -2*d**5 - z*d + 2*d**4 + 25*d.\nAnswer: -2*d**4*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 86\/6)*(-6)\/(-4). Let v = w - -29. Solve 2*i + 3*o = o + 6, -o + v = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + 1*sqrt(95))*2)\/(sqrt(25)\/(2*sqrt(5))))**2*-2.\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 260*b**3 - 258*b**3.\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 15) + -8 - (-9 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/1 - 381) + -1 + -4. Is (10 - 18) + i\/(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.5105 kilometers in nanometers?\nAnswer: 351510500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 2.4, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -778, -1019, -1670, -2935, -5018, -8123, -12454?\nAnswer: -18215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 4. Suppose -15 = 6*v - 3*v. Let s be m(v). Let h(r) = 3*r - 10. Let z be h(s). What is the greatest common divisor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2, -2*q + 3*q - 43 = -d. What is the highest common factor of 44 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 38 - 122 - 3238*l + 34 to the form y*l + c and give y.\nAnswer: -3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:21 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3)*4\/6. Suppose -b*k = 4*j + k - 16, -4*j = 2*k - 16. Suppose -4*i - 3*o - 4 + 28 = 0, j*i - 32 = -o. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8200\/480 - 17)*(4\/6)\/((-45)\/27)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.5 + 5.1. Let q = 3.3 + v. What is q rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - (6 - -4)) + 5299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-1 - 1)\/(-1). Let x(w) be the first derivative of -3*w**2 + 12. List the prime factors of x(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -288*d**3 + 8*d**2 + 2. Let s(q) = 578*q**3 - 18*q**2 - 5. Give -4*s(b) - 9*v(b).\nAnswer: 280*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m - 33*m - 2*m**2 - 9*m - 29*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022212 - -201?\nAnswer: 12100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142470736 or 142470733?\nAnswer: 142470733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/(-3 + 78\/27). Let v(i) = -k*i + 12*i + 1 - 8*i + 8*i**2. Is v(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17711398*2.3.\nAnswer: -40736215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in 1, -2\/2379, -1\/3, -2\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664 and 525856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -8280 (b) 0.2 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 5346364?\nAnswer: 5346363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 772525425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/200)\/((-1)\/((-75)\/855))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + (11 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.32 and -609.399 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 47390562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 9*s**2 + 8*s + 15. Let r be q(-10). Let m = 268 + r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 14*l**2 + 2*l + 30. Let s be x(-14). Suppose -4*v - 2*w + 18 = 0, -2*v - s*w - 14 = -6*v. Solve 5*o + 4 = -v*k, 3*o + o = -3*k - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*o - 5*o + 10, -5*l = 5*o + 5. Let i be (o\/30)\/((-28)\/6). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, 21680, -4 in decreasing order.\nAnswer: 21680, 4, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 21*y + 2. Give u(16).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 11*b**2\/3 + b\/3 + 11\/3.\nAnswer: -(b - 1)*(b + 1)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3818508 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320.887 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyvj when four letters picked without replacement from jvyvjjyv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 30450*p**3 + 916316*p**2 + 84472*p - 240 = 0?\nAnswer: -30, -2\/21, 2\/725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*n + 128190, -v + n + 6542 = -36186. What are the prime factors of v?\nAnswer: 5, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2\/2 + 127702415*k\/2 = 0.\nAnswer: -25540483, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyuvuvvyvvsumvy. Give prob of picking 1 m and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 44*i - 73. List the prime factors of o(12).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68397 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-704)\/176)\/(4\/214). Is -216 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -5*z**2\/2 - 21. Let u(m) = 10*m. Give f(u(l)).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + 8. Let k(v) = -3*v**2 + v. Let d be k(1). Let i be (12 - 2) + d*1. What is the highest common factor of n and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1462 times 0.16\nAnswer: -0.023392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 6*r**2 - 9*r\/2 + 11.\nAnswer: -(r - 1)*(r + 2)*(r + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*u = -15, -3*u = -m - 0*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 45 = 5*s. Is 6 a factor of 49*1*(-10 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/25 (b) -0.4 (c) 1\/6 (d) -2\/7 (e) -3 (f) -31\/4 (g) -2233\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*s**2 - 5*s**3 + 2*s**3 + 4*s**3 - 2*s**3.\nAnswer: -s**3 + 111*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1, 3, -12, -297, -4, -2.\nAnswer: -297, -12, -4, -2, 2\/15, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k - 71 = 59 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*t**3 + 3 + (3*t**2 - 4*t**2 - t**2)*(-3*t + 15 - 2*t + 6*t).\nAnswer: -4*t**3 - 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -7)\/(6\/(-52)). Suppose h*s = 24*s - 12. Let z(f) = -5*f**2 - f. Let n(x) = -x + x**2 - 2*x**2 - 3*x**2. Give s*n(c) + 5*z(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101020 + 222012?\nAnswer: -1102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -85. Let u = j - 24. Suppose 2*h = -5*t + 5 + 4, 4*h + u*t - 25 = 0. Solve -5*o + 22 = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/121, -0.018, -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1225\/3 + 410. Which is the second smallest value? (a) x (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*p - 3*p - 3*p)*(14141190840*p**2 - 2*p**3 - 582 + 3*p**3 + 2*p - 14141190848*p**2) to the form d + l*p**2 + t*p + o*p**3 + b*p**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2, -19\/2, -35, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 - 4*d - 86. Give i(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(1\/26))))\/(g*g*g\/g**(2\/5))*g**9\/g**(-36) assuming g is positive.\nAnswer: g**(5637\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -60731510870?\nAnswer: 60731510870.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9036 and 15813.\nAnswer: 63252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103113?\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 746 + -742. Let n = 15 + -11. Differentiate -2*s**r + 16*s**4 - 8 + 6*s**n - 19 wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*n + p - 8, -n = -5*p + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 41.1. Let v = 8.1 + c. Which is greater: v or -69?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -4*c. Let u = -12370 + 12393. What is the smallest common multiple of -11*c*(-1 + 0) and u?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3\/92 (c) 1\/7 (d) 12\/5 (e) -2\/13 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/156)\/7*(3\/24)\/((-40)\/2080).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 5. Let l be c(3). Suppose -a + 3*b = -2*a + 14, 37 = 5*a + l*b. Suppose 15*x - a*x - 230 = 0. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224 - -294. Let v(u) = 0 - 71*u + 143*u + 8 - j*u. Let y(i) = -3*i - 9. What is 5*v(h) + 4*y(h)?\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f - 6. Let g(o) = 698*o + 4883. Let h be g(-7). What is j(h)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 13) in base 15?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/19)*d*((d\/(d**(1\/5)\/d)*d)\/d)\/d)**16\/(d**15*d**(-2\/5))**(12\/19) assuming d is positive.\nAnswer: d**(388\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 6*n + 2*n**2 + 9*n + 8*n**2 + 8 + n**3. Let a be r(-9). Let u = 12 - a. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12353*m*v**2 + 8426*m with respect to v.\nAnswer: -24706*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1270*r**3 + 4*r**2 + 35*r - 5. Let x(t) = 1272*t**3 + 6*t**2 + 32*t - 6. Let g(n) = 5*x(n) - 6*z(n). What is the third derivative of g(y) wrt y?\nAnswer: -7560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178*i - 73 wrt i?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*w, -5*w + 2*r = -r - 16. Let z(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/3 - 789*s. Calculate z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 52*p**2 + 2*p + 63*p**2 - 2*p.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 4. Suppose x*l - 5*t + 5 = 0, -6*l - 5*t = -4*l - 25. Suppose -600 = -3*j - l*f, -379 = -5*j + 2*f + 652. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 48\/5. Let n = 174.46 - 1.46. Let k = 173.5 - n. Which is the closest to x? (a) k (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 3823*i + 9922254\/5.\nAnswer: (i - 18581)*(i - 534)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q = 65*q + 14. Let p(j) = 3*j**3 - 11*j**2 + 8*j + 37. Is p(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2114 + -2?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2. Let s(j) = 953601*j - 1278. Let c(b) = 2989*b - 4. Let v(u) = 639*c(u) - 2*s(u). Give v(f(l)).\nAnswer: 8307*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*y + 3*z - 1, 0 = 2*z + 6. Let u = 3 - y. Let p = u - -13. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.58 + 3.42. Let t = -0.036 + -0.014. What is the biggest value in t, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yra when three letters picked without replacement from {i: 6, r: 1, y: 4, a: 8, l: 1}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4 (c) 49084\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4348 - 4342. Solve -2*x + 3*j = 2*x + q, 5 = x - 4*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52071, 104144, 156217, 208290?\n\"Answer: 52073*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 3. Let z be b(-4). Let v(q) = q - 1. Let j(i) = i. Let k(d) = -3*j(d) + 2*v(d). Give k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 218022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 4*v, c - 3*c - 4*v - 4 = 0. Let b be 844\/55 - c\/(-6). Let q = -2\/165 + b. Find the common denominator of q and -59\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130314 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10955, 21910, 32865, 43820?\n\"Answer: 10955*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.2, 0.1, -215643?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4941635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 17 (c) -9142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12192 and 7152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from tthfktfhttflw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 3, j: 3, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 - 275. Solve 5 + 25 = -d*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3405770\/17 or -200340?\nAnswer: -200340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23230.\nAnswer: 2, 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f**2 - 6*f**2 + 1 + 7*f + 9 - 7*f**2. Let o be r(-6). Suppose -252 = -o*p + 2*p. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 8. Let u(d) = -2*d - 5. Let j be u(n). Solve 3*l + 5*s + 13 = 3*s, -2*s = 5*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/20, 0, 53 in increasing order.\nAnswer: -4, -3\/20, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**7)\/(q*q**(-1\/5)*q))\/(q**1)**(2\/105) assuming q is positive.\nAnswer: q**(-821\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587 + 631 = -4*p - 2*t, 37*p = -t - 162 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/72 and -127\/764520?\nAnswer: 2293560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y. Let o(s) be the third derivative of 41*s**5\/15 + 873*s**2. Calculate w(o(m)).\nAnswer: 820*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - 5. Let m = x - -3. Let d = m + 20. Solve w - d = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844*-3.\nAnswer: -8532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 102\/133 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 2. Let r be c(0). Suppose -5*q + r*q + 3134 = 5*d, -3*q + 4*d = -3125. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 355.811998 + 0.387002. Let b = o - 356. What is b rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222010010212 (base 3) to base 13.\nAnswer: -58a876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and -31\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266657884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3466674 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.0688 - -28.55. What is f rounded to 2 decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171912412?\nAnswer: 2, 11, 26634373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23904 and 2922264?\nAnswer: 11689056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:39 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8805 + 8829. Solve -477*m - f = -465*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and -75\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 199499988 = -3*w, 2*g = 3*g + 3. Suppose -5*y - 5*r = w, 4*y + r + r + 53200000 = 0. Round y to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, 10, -1\/5.\nAnswer: -1\/5, 1\/5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 451626 and 6.\nAnswer: 451626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 6155*o - 14593749\/2.\nAnswer: -(o + 1329)*(o + 10981)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 7*v - 3. Let t(w) = w**2 - 2. Let l be t(3). Let r be i(l). Let j = 24 + r. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 + -1)\/((-48)\/24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -287, -649, -1157, -1811?\nAnswer: -2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.83, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - o = -23*v + 1, -3*o = 2*v + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 2, 5\/4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o*o)\/((o*o**(-27))\/o) assuming o is positive.\nAnswer: o**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 1567 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61 and -11083?\nAnswer: 676063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2598 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 44*b + 76. Let q(w) = 4*w + 7. Determine 3*a(c) - 32*q(c).\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c + 6. Let y = c + 8. Solve -4*p - 2 = -7*p + 4*h, -4 = y*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2433 and 396.\nAnswer: 321156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1 + -4)**2 + 3 + (sqrt(27))**2*5.\nAnswer: -48*sqrt(3) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3629961 by -9.\nAnswer: -403329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o + 4*x, -17314*o + 17312*o + 8*x = -4 - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281234*f**4 - 2*f**3 + 1792243*f**2.\nAnswer: 6749616*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10316717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349 + 379. Let j be ((-3)\/(-6)*-3)\/(m\/(-160)). Solve -2*y = -z - 5, z + 2*y = 7*y - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714638885?\nAnswer: 3, 5, 739, 154681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*i - 9217 = -3832 + 6063 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30046724 and 290507?\nAnswer: 210327068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 13712376?\nAnswer: 13712375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 79 = 4*t, 0 = -4*t - 9 - 3. What is the remainder when f is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (78\/9)\/((-4)\/(-144)). Suppose -8*f + 14*f - o = 0. What is the least common multiple of f and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**2 + 226*r**5 - 215*r**5 - r**2 wrt r?\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j**2 - 11*j - 32. Let g be c(-3). Let z = g - 180. Calculate the least common multiple of z and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -855 - -1711\/2. Let r(k) = -k + 8. Let j be r(8). Suppose -w*a - 1\/2*a**2 + j = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 173, 175, 179, 185?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(9\/(-540)*538 - -9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3*u - 6. Suppose -4*s + 429 = 5*d + 74, -4*d = -2*s - 284. Let k = d + -76. Determine i(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100 + -12012?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -0*s, -4*s - 935 = -c. List the prime factors of c.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (219\/21 - 5) + -5. Let x = 217\/312 + -3\/104. What is the second biggest value in -0.3, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 295*w + 1534. What are the prime factors of r(66)?\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55657 or 55656?\nAnswer: 55657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1947 + -754. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:00 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 62*q - 15. Calculate h(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*(m**(3\/2)\/m)\/m)**13*(((m\/(m*m**(-1\/2)))\/m)**(-20\/7))**(-20) assuming m is positive.\nAnswer: m**(-1583\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) - 6*-3*sqrt(19))*4.\nAnswer: 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3 - 7. Let x = m - -26. What are the prime factors of (-4)\/(x\/(-34))*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/2 (b) -8\/3 (c) 18 (d) -2\/15 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*i**4 + 1094*i**3 + 213500?\nAnswer: -40*i**3 + 3282*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w + 5. Let c be d(-11). Let x(y) be the second derivative of -2500*y**3 + 6*y. Let t be x(c). What is t rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73517 - -103958. What are the prime factors of s?\nAnswer: 3, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5729, 394 in increasing order.\nAnswer: -5729, -1, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from lllllllttttllllllll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 140\/2*-1 - 2. What is the units digit of v\/28*14\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3779.2 - -3779. What is the closest to -2\/7 in 2\/11, c, 63?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49)\/(-2)*(-4)\/(-7). Let x = 2 + -6. Let k(f) = 3*f**3 + 2*f**2 - 2*f - 2. Let y(q) = 10*q**3 + 7*q**2 - 7*q - 7. Calculate v*k(j) + x*y(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -5. Let a = -2 - -6. Suppose -3*l + 3*o + 15 = 0, -a*l + 3*o + 19 = -0*l. Solve -p*g = -l*s - 25, -5*s - 35 + 9 = -g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/(3186\/(-60)))\/(((-468)\/81)\/(-13)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 10*t**2 + 3*t**2 - 5*t**2 in the form f*t**2 + d + g*t and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 + 26*p + 10. Is 85 a factor of f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/7)*q)\/(q*q**(-1\/21)*q)*q\/(q\/q**5)*q*q**(1\/33) assuming q is positive.\nAnswer: q**(457\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/((-2)\/(-6)). Let t be (-10)\/(-6)*k + -2. Solve -11 = t*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/25)\/(2\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhhlblhb. Give prob of sequence lbb.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q + 6*h - h, -q + 4*h = -19. Suppose -2*u - 2*u + 680 = q*d, 430 = 2*d - 2*u. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/20 + 49*i**2. Let h(z) = 2*z + 59. Calculate h(v(p)).\nAnswer: 6*p**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1279 + 79 = 2*t + 4*y, 2*t - 1373 = y. Calculate the remainder when 43 is divided by (-4)\/18 - t\/(-45).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6*k - 92. Let a = k - -34. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 12*d - 5. Let b be 9\/(-3)*1\/(-3). Let r be 4 + -2 + 3*b. Let k be a(r). Solve -1 = 5*n - 3*v - 2, k = -3*n - v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10866 + -10432. Calculate the remainder when x is divided by 137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21522706 to the power of 1\/2, to the nearest integer?\nAnswer: 4639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c, -22*c = 4*g - 19*c. Solve 2*u + 5*x = 16 - g, 0 = 4*x - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 = 5*l, -4*w = -6*w + 2*l + 10. Suppose 5*a + 70 = z, a + 350 = 5*z - 4*a. Let c be 2\/10*z\/7. Solve -6 = -c*r, -3*p + 9 - 33 = -w*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = -3*m + 328, 0 = 3*r - 2*m - 505. Suppose 3*s - r = 2*s. List the prime factors of s.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138.92 - -0.08. Let c = -144 + w. What is the biggest value in c, 3, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 413\/5. Factor d*i**2 + 4\/5*i + 2\/5.\nAnswer: 2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 5441*d - 5440*d + 172, -3*d = -3*j + 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224.2, -2, 3, -59 in ascending order.\nAnswer: -224.2, -59, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 759, 5996, 20171, 47754, 93215, 161024, 255651?\n\"Answer: 745*s**3 - s**2 + 25*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -174, -327, -498, -693, -918, -1179?\n\"Answer: -a**3 - 3*a**2 - 137*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 26*k - 103 - 117 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 6}. What is prob of sequence ww?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (262 - 279) + (0 - -15) - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10 - (43\/(-10) + 4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(275)*1)**2 - (5 + -1*sqrt(275)))*4.\nAnswer: 20*sqrt(11) + 17580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 101 - 19*o**2 + 13*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 9*l - 20. Give g(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/5322 and -55\/14192.\nAnswer: 42576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*(-71)\/(9230\/(-3575)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 14. Suppose -h + 3*r + 9 = 0, -r + 4 + 25 = 5*h. Calculate the least common multiple of 14 and d(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from bddwbddde?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12987535 divided by -9\nAnswer: -12987535\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555887 is divided by 277910.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(18\/4)\/(-3). Suppose 675 = 2*r + d*w, -2*r - 2*w + 670 = -0*w. Round r to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12668 is divided by 235.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40867365 divided by 205.\nAnswer: 199353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/70*265\/(-106)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1275 divide 4012425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38 - (-6 + -4 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h + 2. Let y(k) = 0 + 0 + 36*k**h + 1. What is the units digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7056)*1)\/(2*(sqrt(252)\/sqrt(4))\/sqrt(9)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -578.94 and 5647363737.\nAnswer: 5647363158.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/46*(-16)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37970372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Let n(t) = -2*t + t + p*t. Suppose 4*k + 5*q = 23, 0 = -3*k - q + 3*q. Calculate n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 165.\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511 - 106 - 134 - 134 - 137 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 + -91.4.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 16 - 5)*(p - p - p) + 1 - 2*p - 1 as v*p + h and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/3))\/(v*(v*v*v\/(v*v**(1\/11)\/v*v))\/v*v*v)*((v\/v**(2\/7))\/v)\/v**(2\/7) assuming v is positive.\nAnswer: v**(-881\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8657*g**2 + 5*g**3 - 4 + 4329*g**2 + 4328*g**2 - 4*g**3.\nAnswer: g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199113 is divided by 17967?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 less than 0.51?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 1122630.561?\nAnswer: 1122630.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 5. Let y(o) = -6*o - 6. Suppose -16 = 6*h + 8. Determine h*x(t) + 3*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96379345?\nAnswer: 5, 73, 264053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**5 + 10*b**4 - 13*b**3 - 33*b**2 - 7*b. Let a(q) = q**5 - 10*q**4 + 14*q**3 + 34*q**2 + 6*q. Let w(j) = 7*a(j) + 6*h(j). Factor w(d).\nAnswer: -5*d**2*(d - 2)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154.7 - -155. Suppose 0 = -g + 3 + 2. Suppose -l = -a - 5, g*a - a = l - 8. What is the smallest value in a, c, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkqddzt. Give prob of picking 1 z and 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.6, -2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -761 + 101. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3012 + -0.0064. Let v = -0.3 - q. Round v to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -0.3, 7207.\nAnswer: -3, -0.3, 0.1, 7207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:57 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*z, 0*z - 12 = -4*z. Are 3\/2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 0.51. Let g = 5.20438 - 0.20438. Which is the smallest value? (a) g (b) y (c) -1\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014323?\nAnswer: 13, 231871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 753 = -3*r - 742, 0 = -2*m - r + 13 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 572355 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 53 = -31. Sort -27, 0, f, -3 in increasing order.\nAnswer: -27, -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1628\/(-34) + 58\/(-493). Let h be (y\/64)\/(6\/(-16)). Solve -2*o + 14 = -h*x, x = -3*o + 2 + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -929 and -928 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1)\/((-69)\/(-2070)). Suppose -2*c + c - 18 = 0. Let r = c - s. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3 - 2 + 3.\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Let a = -37 + 26. Let n = 6 + a. What is the biggest value in 4, n, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -480, -695, -910, -1125, -1340?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-42))\/((-62)\/3038) + 8\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/15088793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 0.1. Let g be 1 - (4\/6)\/2. Let h = -764.2 - -764. What is the third biggest value in g, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -214107488.58.\nAnswer: -214107487.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 44*u**3 - 5*u**2 - 3*u + 4. Let z be j(-2). Let r = z + 1096\/3. Factor -4\/3*t + 0 - r*t**2 - 2*t**3.\nAnswer: -2*t*(t + 1)*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -573926, 3, -5 in increasing order.\nAnswer: -573926, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 255497\/(-5995) + 18\/981?\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951354?\nAnswer: 2, 3, 17, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(1\/(20\/(-16))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/5 - 406*v**4\/5 - 271456*v**3\/5 - 25508368*v**2\/5 - 98789152*v\/5 - 19541984 = 0.\nAnswer: -154, -2, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrh when three letters picked without replacement from {h: 2, x: 2, r: 1, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43031 (base 8) in base 5?\nAnswer: -1033240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51637 and -4658.\nAnswer: -240525146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 15*o. Suppose 4*t = -o*t + 16, -2*d = -2*t + 36. Let s = d + 155\/11. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*y + 2566 = 2522, -3*d - 2*y = -46 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (3 - 0 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2201 = -3*y - 8*n, 0 = -2*y - 2*n + 1470. List the prime factors of y.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11610 divided by -258.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 3\nAnswer: 119\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 10, 195.\nAnswer: -5, 1, 3, 10, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1680 = -y. Let d be 394\/y*-4 - (-1)\/7. Let m = d - 191\/42. What is the fourth biggest value in m, -2, 1\/5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 750, 899, 1030, 1137, 1214, 1255, 1254, 1205?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5169 + 5106.3. Round i to 0 dps.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120111210 (base 3) to base 6\nAnswer: 355250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1133 and -0.03.\nAnswer: -1133.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1910356, 1910332, 1910294, 1910242?\nAnswer: 1910176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 150, 162, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)*f)\/f**(-1\/4))\/(f\/(f*f**(1\/3)*f*f))**(1\/40) assuming f is positive.\nAnswer: f**(127\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 26 = -9. Let x(p) = 10*p - 16. Let z be x(y). Calculate the least common multiple of 4\/(-18) + 174\/z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 46 = -55, 2*y - 967 = m. Calculate the remainder when y is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = 60*w + 179 + 214. Sort 0, 1, w, -1, -0.2 in decreasing order.\nAnswer: 1, 0, -0.2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 1, z: 11}. What is prob of picking 3 z?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 0 + 4)*(302*m - 112*m - 101*m) - 3 + 2*m + 3.\nAnswer: 2049*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 4097?\nAnswer: 24582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/126 and 13\/1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:35 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 129, 327, 605, 957, 1377, 1859, 2397?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-151)\/(-302))\/((-6)\/(-28))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 13*i - 22 = 19, 3*i = -o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/196*8)\/((-458)\/7). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q = 30. Solve 2*y - 5*c - q = 8, -2*y + 10 = -c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 314 - -16?\nAnswer: 32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = 34. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176002960 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 + 2*z + 1. Let a be q(2). Let c = 5 - a. Let d = -24 + 24. Sort 3, c, d in decreasing order.\nAnswer: c, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let z = -6.3 + 4.3. Sort 0.5, l, z in descending order.\nAnswer: l, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 + 3*z + 10. Let i be f(-8). Let n = 6 - i. Suppose 3*s = 4*d + n, -s - 3*d = d - 28. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s - 5*s + 3*b, 0 = -2*s + 4*b. Let c be 5 - 1\/(s\/(-4)). Suppose -c*k + 204 = -3*k. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/5*x**3 - 2\/25*x**4 + 24\/25*x + 16\/25*x**2 = 0. Calculate x.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.938554481 + 0.061445399. Let k = 77 - r. What is k rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 32 = -18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 473 + -4729\/10. What is the nearest to -2\/3 in 13, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 359*o. Let f(j) = 16*j. Give f(l(y)).\nAnswer: 5744*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*j + 72 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 2 + 2 + (2*b - 5*b + 2*b)*(3*b - 6*b + 2*b) + (-103*b + 16*b + 37*b - 4*b)*(-108*b - 20 + 20) to p + u*b**2 + c*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4\/9 (c) 15595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 1046.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/10 + (-1 - 10). Is (j\/(-4))\/(1\/34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n + 2\/5*n**4 - 4\/5 + 2\/5*n**3 - 6\/5*n**2 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36489.\nAnswer: 3, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 - 162. Let s(l) = l**2 - 1 + 3*l**2 - l**2 + d + l. Let o be 5\/10 + (-12)\/(-8). Calculate s(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14540.1 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**2\/2 + 2*c - 1. Let k = 17193 - 17191. Let q(a) = -6*a + 10. What is k*q(d) - 11*x(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -372*x + 380*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 753*a**2 + 153857 - 153857. Let l(p) = 2*p**2. Determine l(v(i)).\nAnswer: 1134018*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4040121 (base 5) to base 4\nAnswer: 33320030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241579 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 433 + 143. Let n = -577 + q. Put -10\/3, n, -3\/7 in ascending order.\nAnswer: -10\/3, n, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43457928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7171, -14788, -22405, -30022, -37639?\nAnswer: -45256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3.5062?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 0, 334 = 5*s - 3*m - 146. Suppose z + 12*h = 15*h + s, -5*h - 389 = -4*z. What is the highest common divisor of 144 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 9:02 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f - 29*f + 2019065. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-2) + 3)\/((-2)\/(-12)). Suppose -3*b + 1 + 11 = 3*x, x - 12 = -k*b. Suppose -5*h - 21 = b*w - 6*w, 0 = -h - 1. Solve -y - w = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 5. Let v(z) = 6*z - 14. Let t(a) = 11*d(a) - 4*v(a). Let u(f) = -5*f**2 + 12*f - 6. Let r(y) = -6*t(y) - u(y). Let h(g) = -9*g. Give h(r(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 740695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -943 and -1757.6077787.\nAnswer: -2700.6077787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -2, -0.3, 1\/4, -0.45, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u*v**4 - 11*u*v**2 + u*v - 11451*u - 510*v**4 wrt v?\nAnswer: -24*u*v**2 - 22*u - 6120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12)*6\/4. Let j(b) = -3*b**3 - 2*b + 1. Let s be j(t). Let r = -1 - s. Solve -w = -r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253)\/(-22) - (8\/(-16) - (1 - -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14502 divided by -3?\nAnswer: 4834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1126 + 451. Let q = 1526 + p. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -29*a + 51. Is 11 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 33. Suppose 12 + z = 3*s. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 - 3*z. Give l(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 3*b**2 + 33 - 9 - 230*b**3 - 24.\nAnswer: -230*b**3 - 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 2. Let m(l) = 4*l + 3. Suppose -31*t + 265 = 22*t. Let u = -86 - -82. Calculate t*v(d) + u*m(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-2 + 0 + (-16 - -3)). Solve 0 = 3*i + 5*x - u, 4*x - 14 + 3 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -3341301 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (383\/(-36) + (-321)\/2889)\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001978465267 to 6 decimal places.\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 25, 36*m = 4*r + 38*m - 78. Solve -10 = r*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/65 and 4\/5005.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875*q**4 - 31040*q**3 - 179500*q**2 + 100880*q - 13440 = 0. Calculate q.\nAnswer: -28, -8, 6\/25, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191756440.\nAnswer: 2, 5, 1447, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -2 (b) -179\/14 (c) -0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = t, -5*k + 20*t = 19*t + 4. Which is bigger: 3\/40 or k?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - t**2 - 3*t + 2. Let v(y) be the second derivative of -5\/2*y**2 + 0 + 7\/6*y**3 + 7\/20*y**5 + 1\/6*y**4 - 4*y. Calculate 5*g(o) + 2*v(o).\nAnswer: -o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16856 + 16658.39. Let s = -199 - m. Round s to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 0.25, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8147 to 2 decimal places.\nAnswer: 2.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19722 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/25 + (-5342)\/(-5) + -3. Suppose -2*p + 441 = x, 2*p - 7*p = -5*x - i. Suppose 3*d - 5*k - p = 0, -5*d = -0*k - k - 356. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/12)\/((-2)\/186). Let p be x\/(-1 - -3 - 3). Let a = p + 43. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.72203918 - -298.27793392. Let n = -303 + w. Round n to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3915)\/5220)\/(30\/(-32))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222780 or 222786?\nAnswer: 222780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + (0 - -1))\/21. Let r = z + -2\/21. Factor -2\/3*t**4 - 4\/3*t**3 + r*t**5 + 0 + 0*t + 0*t**2.\nAnswer: 2*t**3*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -135*p + 80*p + 78*p. Let h(z) be the first derivative of z**2 + 9. Give k(h(c)).\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 751087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c - 244 = 4*c. Solve -c*g = 3*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2 - 2. Let b(t) = 8*t**2 - 7*t**d + 11 - 12*t**2 - 10*t**3. Let o(m) = -m**3 - m**2 + 1. Suppose -1 = -c + 1. Calculate c*b(s) - 22*o(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = r + 1, 0 = 2*t + 2*t + 2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5790*y + 1. Let l(k) = 590*k - 11. Give l(u(b)).\nAnswer: 3416100*b + 579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79010136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.48 + -0.08. Sort q, 6, -1 in descending order.\nAnswer: 6, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.79 - -65.8. What is the nearest to -0.04 in 0.5, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8 = -5*y + 6*y, 12 = -y - 4*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 1. Let i(w) = -6*w + 6. Let x(z) = -5*b(z) + i(z). Calculate the remainder when x(0) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 2*c**2 - 2*c**3 + 3*c**2)*(-5026 - 9722 + 4718) to f*c**3 + n*c + g*c**2 + u and give f.\nAnswer: 20060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358864666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41572587?\nAnswer: 3, 7, 113, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17772887626 - -637513479442301\/35870. Let a = m - -4\/3587. Find the common denominator of a and 89\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634345 (base 7) to base 6\nAnswer: -2203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**3*y**3*z - 2*l**3*y**3 - 5*l**2*y**3 + 4*l**2*y**2*z - 20*y**2 with respect to z.\nAnswer: 7*l**3*y**3 + 4*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - l**2 + 8*l - 3. Determine h(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 11 = -g. Let c be -20 + 0 + (-9)\/(4 - 13). Let j = c + g. Solve -6*x - 5 = 3*m - x, 4*m = -j*x + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3 + 3*w**2 + 2*w + 2. Let l(r) = -8*r**2 + 19*r + 5. Let c(u) = 11*a(u) - 4*l(u). Is c(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2151 and 0.5.\nAnswer: -1075.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 21 = 3*h. Let b(x) = 3*x**2 + 2*x - 1. Let i be b(-2). Let z(u) = 5*u - 30. Let f be z(i). Solve -2*s - 3*t = 2*t - 6, 0 = h*s + f*t - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - 2*sqrt(190)*6))*3)\/((sqrt(10) - 2*(1*sqrt(10) + sqrt(10))) + sqrt(10) + sqrt(640)) + 5.\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-27)*17\/(136\/3). Let n = -24.5 - 5.5. Is y at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgggyxxxkykggggx. What is prob of picking 1 x and 1 k?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 3. Let x(p) = -2*p - 4. Determine 7*r(k) + 3*x(k).\nAnswer: k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.61363 times -1?\nAnswer: 9.61363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436180801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -66*a - 517 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Let g = 1\/22 + 5\/11. Sort x, g, -1.\nAnswer: -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -37943.\nAnswer: -16\/37943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 8 = -2*z. Suppose 4*a - 5*n = -z, 4*a - 2*a + 5*n - 27 = 0. Let k(u) = 20*u**3 + 1. Is 21 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*g - 30, -3 - 37 = 4*g - 4*o. Let l(q) = -q**2 - 21*q - 20. Is l(g) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.05 (b) -4 (c) 3 (d) 0.4 (e) -0.1 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryr when three letters picked without replacement from yrvppyypypprpyr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -4621*o**4\/4 - o**3\/3 - 2*o**2 - 3*o + 174. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 31*w**2 - 6*w + 6. Let f(o) = -o + 1. What is c(p) - 6*f(p)?\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 3*w, 0 = -3*c - 3*w + 12. Let f = c - 4. Let b(q) = -5*q - 1. What is the units digit of b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 10. Let p(g) be the second derivative of 1\/6*g**3 - 19*g + 0*g**2 - 1. What is s(p(x))?\nAnswer: 2*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*r - 1. Solve 4*p = -4*f + 4, 3*f - 2*f + r*p = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3447529918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 30. Let t be r(0). Let w be 22\/t + (-4)\/10. Let q = -8858 + 8858. Which is the second biggest value? (a) q (b) 5 (c) 4\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 154*o\/5.\nAnswer: 2*o*(5*o + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54199890 and 54199890?\nAnswer: 54199890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = -t, 0 = 2*r - 5*t + 3*t - 2. Let q(k) = -3*k**3 + 2*k**2 - 2*k + 1. Let z be q(1). Let m = z + -1. Put 3, r, m in descending order.\nAnswer: r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513287633.\nAnswer: 227, 239, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0 - 1\/24*w**4 - 1\/60*w**6 + 0*w**2 + 11*w + 0*w**3 + 1\/20*w**5. Factor o(j).\nAnswer: -j**2*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 3*h + 6. Let d(f) = -14*f**2 - 8*f + 17. Give -6*d(g) + 17*w(g).\nAnswer: -g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12680 divided by -317?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgpgggqgqppggqg. Give prob of sequence ppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 580*m**2 + 582*m + 1023. Determine v(-144).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.11, -259?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 3*s - 7. Let i = -7248 - -7546. Calculate the remainder when i is divided by l(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1092411160 to the nearest integer?\nAnswer: 33052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-270)\/63)*6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60296687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.22 (c) 0 (d) 1\/28 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 + 11*f - 293 - 200 - 360.\nAnswer: 11*f - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238753689*w**3 + 3239*w**2 + 6*w + 989.\nAnswer: -1432522134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2 + h - 3*h - 14*h - h**2 - 12 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3751 or -331\/5?\nAnswer: 3751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27056, -221424, -748972, -1776290, -3469968?\n\"Answer: -27765*j**3 - 13*j + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28236, -56489, -84742?\nAnswer: -112995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6669 + -7005. Let o = -124 + -211. Is o at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.2. Let z = -2.1 + 0.1. Let b be 3\/12 - (-9)\/(-12). Put o, b, z in descending order.\nAnswer: o, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 1208*m - 1215*m. Let u(f) = 16 - f**2 + 13*f**2 + f**2 + 3*f**2. Let x(h) = 3*h**2 + 3. Give m*u(b) + 11*x(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300361\/10 - 30036. Which is the closest to 4? (a) x (b) 0.4 (c) -6\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 249 = 87. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*u = 2*z + 2, 5*u - 5 = 0. Let t = -1 - 5. Let k = t + 11. Sort k, z, 4 in decreasing order.\nAnswer: k, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30087 + 30089.7299. What is w rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.76 + -0.8. Let j = z - -1.04. Which is the nearest to 2? (a) 2\/3 (b) -3\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((3894\/(-90))\/11 - -4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -622.45 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -102945\/89 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzzzzwzwzwzwwwzwzww. Give prob of picking 1 w and 3 z.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11505807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1167387 and 2405.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-o**4 - o**4 + 3*o**4) - o**2 - o**4 + o**2 + (-1 - o**4 + 1)*(1 - 2 + 3).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*w + 55*w - 101*w)*(-w - 2*w**3 + w).\nAnswer: -62*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - z)*(2 + 1 - 1) + (0 - 6 + 0)*(-z + 4 - 4) + 2*z + 3*z + 0*z + 13*z - 27*z + 16*z - 12.\nAnswer: 17*z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1488 by 6.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 78, 99, 136, 195, 282?\n\"Answer: t**3 - t**2 + 7*t + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1254.4 + 1255.4. What is the second biggest value in -3\/4, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 36, 5, 0, 589, 3 in descending order.\nAnswer: 589, 36, 13, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.013?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 7*x**3\/3 - 9*x**2 - 7*x + 50. Let u(r) be the first derivative of h(r). What is the derivative of u(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45058, 57658, 70246, 82816, 95362, 107878, 120358, 132796?\nAnswer: 145186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 - 3)*(0 + 0 - 2)*(-2*b - b + 0*b) - 465*b + 174*b + 208*b)*(0 - 2*b**2 + 0) to g*b**2 + x + p*b + v*b**3 and give v.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19 + 298*y + 361*y - 664*y. What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 - 11846751?\nAnswer: -11846713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*s + 3*s + 4, 5*s + 5 = 5*t. Let h(a) = a**3 + 7*a**2 + 6*a - 4. Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*h = -9, 0*a + 5*a + h - 15 = 0. Suppose 5*x + a = -17. Calculate the remainder when 33 is divided by x\/(-14) - 248\/(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:30 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 3\/5 (c) 0.2285 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1692\/112081?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.4 + 25.519. What is r rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*h - 49. Suppose 3*n + 5 + 4 = 0. Sort 4, n, h in descending order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 112. Let u be (-34)\/68 - n\/(-4). Solve s + 28 = u*w, -3*w + 2 = s - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*g**5 - 2*g**3 - 2*g + 168.\nAnswer: 4140*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4008206 to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 9*s**2 - 5*s + 47. Let z be t(9). Let l(u) = -u**2 - 7*u - 12. Let y be l(-4). Solve -b + z*b + 3 = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-2))\/(13*26\/(-169)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Let d(z) = -5*z**3 - 4*z**2 - 13*z - 1. Let u(i) = 4*i**3 + 4*i**2 + 12*i. Let v = 10 - 16. Let o(y) = v*u(y) - 5*d(y). Give o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, 23, 1, -2, -21 in decreasing order.\nAnswer: 23, 1, -2, -3, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103696520?\nAnswer: 2, 5, 2592413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/6 - t**5 - 15*t**4\/2 - 50*t**3\/3 - 35*t**2\/2 + 328*t. Factor v(l).\nAnswer: 5*(l - 7)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 198, 222, 278, 378, 534, 758, 1062?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*c = -127, 3*z + 2*c - 13 = 63. What is the remainder when 101 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*f = -6, 11*x = 8*x - f + 11. Solve -x*v - 3*h - 16 = 0, 0 = -v - 9*h + 7*h - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-28) + 164\/(-287))*2. Which is bigger: 2\/11659 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -2087\/397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*y**3 - 5 - 1.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72547 - 149660. Let i = -53318 - g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 959, 2122, 3497, 5090, 6907, 8954?\n\"Answer: w**3 + 100*w**2 + 856*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 946 - 1878 - 564 = 0 for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972, 7559, 25412, 60159, 117428, 202847, 322044, 480647?\nAnswer: 684284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1056297, -1056291, -1056285?\nAnswer: -1056279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185722 is divided by 46398.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/17, 7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-100))\/(136\/170).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + h + 15 = 6*h, 3*s - h - 16 = 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1284 + 1233. Let f be 49\/(-1) + (-1 - 2). Is o <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-4)*(((-3456)\/(-180))\/24)\/(2\/(-15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t**3 - 2*t**2 + 7*t + 3. Is x(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034 = -2*v - 2*u, v + 77*u - 65*u - 517 = 0. Calculate the greatest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116\/15591 or -1?\nAnswer: -116\/15591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -4499388\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((209\/44)\/19)\/((-4)\/272).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-12)\/(-8))*(3 - 2). Let a = -3.3 - 0.7. Let m = 3.6 + a. What is the smallest value in -0.3, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -2, 20, 50, 88, 134, 188?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 592226 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 96 = 5*z. Let g = z + 44. What is the remainder when (-2)\/(-9) + (-1094)\/(-18) is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r. Let q(n) be the second derivative of -2*n**3\/3 + 8*n. Determine s(q(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 80 - 2624*o + 1310*o + 1316*o - 15*o**2 + 0*o**3 as q*o + v*o**3 + l + j*o**2 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y**2 + 717*y - 137847. What is a(84)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*((-40)\/(-6))\/2. Let x(s) = s**2 + 1 - 4*s**2 + 7*s**2 + 2 - s**3. Let m be x(3). Calculate the highest common factor of k and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**2 + 26*m**2 - m**3 + 3*m**3 in the form h*m**2 + a*m + s*m**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j**3 + 388*j**2 + 19*j + 7. Let z(y) = -7*y**3 + 130*y**2 + 6*y + 2. Calculate -2*s(u) + 7*z(u).\nAnswer: -5*u**3 + 134*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/9420?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 115. Let i(w) = -2*w - 1. Give 2*i(b) + q(b).\nAnswer: -b - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 42*z + 213*z + 50*z + 18252 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1b84 (base 15) to base 3\nAnswer: -22012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 405*r - 21830. Give f(64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.1 - -12166.\nAnswer: 12136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let j = 50 + -221. Let q = -167 - j. Calculate k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/8)\/(3\/(-2)). Suppose -4 = 2*m, 0*l - 2*m = -4*l + 16. Suppose -5*k - 12 = -3*g, 2*g + l*k + 2 - 10 = 0. Sort g, -3\/7, x in descending order.\nAnswer: g, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3623*k + 1. Let d(v) = 730*v**2 - 1751*v**2 + 1022*v**2. Give d(i(x)).\nAnswer: 13126129*x**2 - 7246*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432600 - 432720.02112. Let k = 120 + h. What is k rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - 80706\/(-72)) + 4 + 282\/(-72) is divided by 71.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2498994 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 109, 221, 331, 439, 545, 649?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1 - 9 + 15 + 8*o + 30. What is the tens digit of q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33880 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -26*y + 3*y**2 - 24*y + 70*y - 24*y - y**3. Suppose j - 5*i + 1 = -3*i, -5*i = -2*j - 4. Calculate z(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/(k*k\/k**6))\/k*k)*((k\/(((k*k**(-2))\/k)\/k*k))\/k)\/k*(k*k**(-4)*k)\/k*k**(-1\/5))**19)**29 assuming k is positive.\nAnswer: k**(-14326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 4*h + h. Let g(z) = -90*z. Let o(v) = 17*v. Let w(q) = -4*g(q) - 21*o(q). Calculate x(w(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 2*d + 9. Determine k(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**4\/24 + b**3\/3 - 2*b**2. Let x be -6*(2 - -3)\/15. Let w(i) = -5 - 4*i + 0*i + 2*i. Give x*w(u) - 5*y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*s**2*w - 11*s*w - 372*s - 1317038*w wrt s?\nAnswer: 12*s*w - 11*w - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -246872.8 * -0.3\nAnswer: 74061.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 14*z**2 - 11*z - 20. Let d be l(13). Determine i, given that -30193*i**4 + 8*i**2 - d*i**3 + 30195*i**4 - 2*i**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 (base 5) in base 10?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40351, -161408, -363171, -645640, -1008815?\nAnswer: -1452696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113654*b**3*j**2 - 7*b**3*j - 16*b**2*j**2 + 4214893*b**2*j - 6*b*j**2 wrt j?\nAnswer: 227308*b**3 - 32*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 840*p + 20. Let o be j(-8). Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, -3\/2, -3\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, -2, 2, 5, 76 in ascending order.\nAnswer: -73, -2, 1, 2, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtpp when four letters picked without replacement from {k: 1, p: 3, t: 1, z: 3, w: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2, -h = -3*w - 17 + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1086 - -51?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3\/7 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/3 + (-238)\/88. Let g = 793\/220 + f. Find the common denominator of g and ((-41)\/7)\/((-108)\/14).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2342017, -2342025, -2342047, -2342089, -2342157, -2342257, -2342395, -2342577?\n\"Answer: -v**3 - v**2 + 2*v - 2342017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-132)\/3465*(-7)\/2)\/((-27)\/1)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 4845001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -5)\/(-1) + 3. Solve -3*l + h + 5 = 0, -2*h + 6 = l + d*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 1. Let c(g) = -7*g + 55. Let j be c(15). Let b = 50 + j. Suppose b = 4*l - u + 13, -l + 2*u - 4 = u. What is t(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 23*b + 59. Let y be x(-5). Let f(u) = -6*u**3 - 5*u**2 + 4*u - 5. Let v(h) = -7*h**3 - 6*h**2 + 3*h - 6. What is y*f(o) + 5*v(o)?\nAnswer: o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6823 + 5692 = 0. Let u = 20059\/8 + t. Calculate the common denominator of 27\/36 + 125\/12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k - 94995 = 1128*k + 82979 for k.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.4 (c) 4 (d) 155509 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -143. Calculate the greatest common divisor of z and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -165?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(6*3*sqrt(65))\/(-1*sqrt(125) + sqrt(5)) + 4 + 3.\nAnswer: 11 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*f = -47, 0*f = f - 5. Let j = 99 - 12. Let p = j + -47. Calculate the greatest common divisor of p and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(200) + sqrt(200) + 0 + 4)*6)**2*-4*5 + -4 + -4.\nAnswer: -589528 - 124800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12)\/((56\/(-30))\/14). Let t be (-1 + 4)\/((-9)\/6). Put t, i, 4 in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**2 - 20*z**2 + 75*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67121 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -2\/395, -10\/23, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 512814 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 86 = -2*b - 26*g, 248 = 5*b - 4*g. Let x(p) = p**2 + 9*p + 6. Let s be x(-9). What is the highest common factor of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -37. Suppose 115 = m - 5*p, -c*p + 5*p = 15. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4612*q**2 + 4625*q**2 - 16*q + q**3 - 3 - 21. Calculate u(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 14*v**2 + 2. Let d be i(-14). Let z = d + 58. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 2*r - 4. Let q be y(-5). Calculate the least common multiple of q\/(-8) - 19\/(-4) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - g + g + (-g + 5*g - 3*g)*(-4*g + 2*g + g) to p*g**2 + m + y*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1309 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Let x(f) = f**3 - 6*f**2 + 4*f + 7. Let w be x(5). Calculate the highest common divisor of z and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.1217, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092440.\nAnswer: 2, 3, 5, 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*x - 2*p, 5*p = -0*x - 4*x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7, t: 1, g: 12}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*z - j, -12*z = -8*z - 3*j - 19. What is the smallest common multiple of 24 and (45 - (-8 + z)) + -7?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -173355.15 from -0.3.\nAnswer: 173354.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 18. Suppose -g + k = -y - 156, -g + 4*y = -173. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1066, 1395, 1732, 2071, 2406, 2731?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*w**2 + 109*w**2 + 82*w**2.\nAnswer: 307*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 485\/(-388)*(-8)\/70?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18. Sort -16, s, 1.\nAnswer: -16, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31260442021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -511*p**2 - 223*p**2 + 271*p**2 - 125*p**2 - 324*p**2 in the form v*p + m*p**2 + w and give m.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 31*n**2. Let s be o(-1). Suppose 0 = v + 4*u + 1, 4*v - u - 16 = s. Suppose 0 = 3*l + 2*l - j - 125, -l + 3*j = -v. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3 + 6. Let t be (89988 - 93) + 1\/2*0. Let u(k) = 89895 + 22*k - t. What is u(d(i))?\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-42)*-14 - 34\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -11. Let y be 8 + -3 + l + 3. Suppose 4 = -y*r + 8*r. Solve -3*k = 3*u, 2*u + k - 2 - r = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14522\/51707?\nAnswer: 14522\/51707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -225*t**4\/16 + 1985*t**3\/4 + 403*t**2 + 108*t + 23. Find o such that p(o) = 0.\nAnswer: -4\/15, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345156 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 30854341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-862)\/3879)\/((-6)\/(-567))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 1, w: 6}. What is prob of picking 2 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19270 divided by -1927?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3a3984?\nAnswer: -3a3984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 - 5*v + 4. Suppose 11 = 5*z - 4. Suppose z = -j - 3. What is c(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/125*((-246)\/36 + 6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54\/557, -3\/2, 0.0015?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*((-2)\/(-19))\/((-2422)\/(-3287)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155 - 150. Solve -y*r = 6*r - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1279, -3, 52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1347, -3874, -8079, -13968, -21547, -30822, -41799, -54484?\nAnswer: -68883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36284.\nAnswer: 2, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b + 55. What are the prime factors of c(13)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.14703 times -2\nAnswer: -0.29406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 2*u**2 - 2*u + 4. Let p be h(-4). List the prime factors of ((-15)\/(-30))\/((-1)\/p).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 355396186 and 2390180?\nAnswer: 353006006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11588.2851 hours to weeks.\nAnswer: 68.9778875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 713304709 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + 24)*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9286 - 4*q + q + 4*q + 28049 - 9435 - 9328.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -892*p - 5342. Give q(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/16)\/(12\/(-64)). Suppose w = -2*b - y, -2*b = 4*w - 2*w + 8. Solve 2*p - 4 - 4 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 149.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-40)\/(0 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.171 (b) -0.03 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.4 (c) -12 (d) 0.3 (e) 4\/3 (f) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/134 and -19\/68.\nAnswer: 4556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 1223 - 624 + 3*g + 6*g - 616 as f + p*g**2 + u*g and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (45 - 33) + 19\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4050))\/((sqrt(80)*-2)\/sqrt(8)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/156)\/(-8)*(-225 - -18)\/23?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylo when three letters picked without replacement from roylyobr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*a - 43873 = 2*a, 4*a = -5*w + 73134. Is w a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1910, 6, 2, -9, 4, -3 in increasing order.\nAnswer: -9, -3, 2, 4, 6, 1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -334. Let u = -331\/4 - -1683\/20. Find the common denominator of u and ((-4)\/(-16))\/(g\/(-200) - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85 and 0.717.\nAnswer: -60.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121427?\nAnswer: 31, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21*1*(-48)\/24.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -11. Suppose 5*t + 3*d - 109 - 172 = 0, -5*d = -b*t + 131. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) + 2*(1*sqrt(1200) - sqrt(1200)) - sqrt(1200))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12909?\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94610 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 - 305828*u**2\/3 + 1948506644*u + 1948608588.\nAnswer: 4*(u - 38229)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2605127 - 1221805346\/469. Let r = -3\/67 + p. What is the common denominator of -3 + 1 - 56\/(-6) and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -9. Let q = -6 + x. Solve -a + q = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 49*l**5 + 30*l**4 - 19*l**3 - 7*l**2 - 7*l - 7. Let f(w) = -16*w**5 - 10*w**4 + 6*w**3 + 2*w**2 + 2*w + 2. Let z(v) = 7*f(v) + 2*u(v). Factor z(y).\nAnswer: -2*y**3*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -1\/3*r**4 + 11\/2*r**2 + 0 + 0*r**3 + 3*r. Find the first derivative of s(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 67.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r - 9 - 64*r + 30*r)*(-1 + 10*r - 15*r + 13*r).\nAnswer: -56*r**2 - 65*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563374799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.812?\nAnswer: -0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1367000*i**2 + 1367002*i**2 - i**4 + 18*i**3 - i**4 - 4*i + 1 as c + z*i**2 + w*i**3 + p*i**4 + d*i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 68. Let m = -20 + 58. What is the common denominator of m\/k*7\/14 and -17\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkrlklrrrklrkkrrkrk. What is prob of sequence kllr?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662813109 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 2\/5, 14, -3 in descending order.\nAnswer: 14, 2\/5, 0.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160224 and 647328.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2405 and 13462635.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29*c\/(c*c*(c*(c\/(c**(-3)\/c))\/c*c*c)\/c))\/((c**(1\/27)*c)\/c*c*c*c\/(c\/(c\/c**(-18\/5)))) assuming c is positive.\nAnswer: c**(2074\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 3154536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627.886732 rounded to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2852453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 (base 3) in base 9?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n - 68. Let h be l(8). Let v be (1 - 7)*2\/(-4). Factor -7*q + h*q + 2*q - v*q + 2*q**2.\nAnswer: 2*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*m, 4*m - 25 = 2*w + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1759951*b**5 - 284015*b**2 wrt b?\nAnswer: 105597060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142690.\nAnswer: 2, 5, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**2 - 2\/3*v**3 + 0 + 9*v + 0*v**4 + 3\/10*v**5. Find the second derivative of b(q) wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2*d + d)*(-1 + 1 - 10) - d - 4*d + 3*d to c*d + r and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 0*t)*(2 - 1 - 3) - 7*t + 1 + 25*t - 13*t + (t - 2*t + 3*t)*(-1 - 2 + 7).\nAnswer: 15*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375758, -375748, -375724, -375680, -375610, -375508?\nAnswer: -375368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -282, -280, -278?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 130011?\nAnswer: -130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3730554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*n - 4*d, 1 - 18 = 2*n - 3*d. Let c = 1 - n. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*g - 68 = 71 - 763 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 215*t**7\/6 - 643*t**3\/3 - 1062*t. What is the second derivative of d(i) wrt i?\nAnswer: 30100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 24\/(-35) - (-34)\/85. Suppose -15\/7*g**2 + 6\/7*g + 0 - 3\/7*g**4 + p*g**3 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/10080 + p**6\/2880 - p**4\/6 + 3*p**2. Let l(z) be the second derivative of o(z). Factor l(n).\nAnswer: n*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let n be t(9). Suppose 6*g = 3*g + n. Find the third derivative of l**4 - g*l**6 - 3*l**2 - l**4 + 2*l**6 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.1 - 63. Sort -2, -0.4, j, -3\/2 in decreasing order.\nAnswer: j, -0.4, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x + 10. Let h be (-12)\/(-18)*(1 - -2). Suppose -5*f = -2*n + 19, 3*n + 2*f = n - h. Sort -4, n, x in decreasing order.\nAnswer: n, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 178, 3, 567, -2, -1.\nAnswer: -2, -1, 1, 2, 3, 178, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 10 - 41*z**2 - 6 - 2.\nAnswer: -46*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*j - 89 - 36 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2415523 + 2415523 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879472.\nAnswer: 2, 11, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 171*i - 44. Calculate w(-1).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 62 + 266. Let u = -41 + d. Suppose -21 = -3*a + u. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23873956.\nAnswer: 2, 19, 53, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -579*x**2 + 194*x + 8. Let b(l) = 1157*l**2 - 389*l - 13. Let r(f) = -5*a(f) - 3*b(f). What is the second derivative of r(i) wrt i?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 771. Let y(k) = -k + 675. Let l(f) = 6*c(f) + 7*y(f). Determine l(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618492517.\nAnswer: 23, 509, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611161 (base 8) in base 10?\nAnswer: 725617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 3c9a?\nAnswer: -3cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4860 - 1811. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q)*(-5 - 3 - 2)*(-1 + 1 - 2).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3110637.\nAnswer: 3, 349, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28023 + 28023. Suppose -b = -5*b + 20. Solve l + c*l + b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3*(sqrt(156) - 3*sqrt(156))\/sqrt(12) - (-1 + sqrt(13) + 5 + 4)))*-3)**2.\nAnswer: -540*sqrt(13) + 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/42)\/((-14)\/3)*1*4*19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -143, 3, 5.\nAnswer: -143, -2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + 148\/5. Suppose m - 18 = -5*q, 0*m = 5*m + 5*q - w. Solve -3*z - 2*i - 6 = 0, 2*z + m*z = -3*i - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4 and 77\/162884?\nAnswer: 162884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750, -1499, -2248?\nAnswer: -2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3 + 3. Suppose -2*u + 37 - f = 0. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*i**2*r - 8*i**2*s + 10*i**2 - 3*i*r*s + 59*i*r + 9*i*s - 3*r - 2 wrt i.\nAnswer: -376*r - 16*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*w**6 - 175*w**4 + 13215*w**2.\nAnswer: -4080*w**3 - 4200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3874956 or 3874922?\nAnswer: 3874956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 1928. Suppose 4*f + 178 = -a. Let u = -116 - f. What is the highest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1507641 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(108) + sqrt(108)*2*6 + 5*(1*sqrt(108) + sqrt(108)))\/(-3*sqrt(27)\/sqrt(3)*2)*-6)**2.\nAnswer: -19044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/4151557 or 1?\nAnswer: 63\/4151557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2\/3 - 5340\/8820).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -301.\nAnswer: -300.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115859851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01885827404 rounded to four decimal places?\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -742367*b**2*l**4 + 694*b**2 + 3*b*l**6 + 103*b*l**2 - 2*l**2 wrt l.\nAnswer: -17816808*b**2*l + 360*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18895436?\nAnswer: 2, 7, 674837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13681 is divided by 780?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 599\/3, 3.\nAnswer: 2, 3, 599\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/55385 and 27\/2847625.\nAnswer: 150924125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k**4 + 771*k**3 + 4965*k**2 + 7653*k - 2610 = 0. What is k?\nAnswer: -29, -5, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:12 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -154133 (base 6) to base 16\nAnswer: -3b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89649 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/69 and 5\/20285949.\nAnswer: 466576827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 3, 1.5, 2, -3\/8, -0.122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(45\/40) + (176\/(-1936))\/((-18)\/(-33))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 128*b - 86. What are the prime factors of f(83)?\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.1. Let z = 2.5 - 3. Which is the second smallest value? (a) h (b) z (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 + 253.2. Suppose 0 = l + 4 - 3, -4*x + 4*l + 16 = 0. Let s be 0 + (-4 + 2 - x). Sort o, -3\/10, s, -1\/2.\nAnswer: s, -1\/2, -3\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5332 and 374535676.\nAnswer: 374535676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 0, 0.03, -1, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1892.912?\nAnswer: -1893.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*t - 2*u + 11, 57 = 3*t - u. What is the highest common divisor of t and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 2935 + 3367 = 0 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.226 + -4.226. Which is the smallest value? (a) i (b) -0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 1)*(-2*v - 2*v + 2*v) + v - 2*v + 2*v)*(69*v**2 + 8885 - 8885) as c*v**3 + f*v + w*v**2 + t and give c.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 4*b**2 + 2*b - 3. Let g be y(3). Let c = g - -21. Suppose 35 = 3*x + c*s - s, 4*x = 3*s + 37. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 353 + 172. Suppose 0 = -3*u - 2*c + 36, -y*u + 65 = -20*u + 5*c. What is the highest common divisor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m. Let y be 4 + (2 - (4 - m)). Let d be (-6)\/4*960\/(-45). Solve 4*z + 4*n = -d, -2*n + 3*n = z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3766)\/(-2421))\/((-8)\/4).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) - (sqrt(85) + 1*sqrt(85) - sqrt(85))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p, -y - 5*p = -4*y + 8. Suppose 0 = -y*k - 12*k + 18. Sort k, 2, -4, 20 in decreasing order.\nAnswer: 20, 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19578 > 1894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7\/2 (b) 5 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*w - 9, -2*w + 3 = d + 3*w. Let z(k) be the second derivative of 1\/2*k**d + 0 + 0*k**2 + 6*k. Let o(c) = 2*c**2. Calculate o(z(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*a**4 - 144*a**4 + 387*a**4)*(0 + 1 + 1).\nAnswer: 1152*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 times 8317?\nAnswer: 7061133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -20) + (78 - 29322\/270)?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*((-1 + 3 + 1)*(0*m - 3*m + m) - 2 + 4 - 4*m + 7*m).\nAnswer: -9*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3*12\/5. Suppose 4*i + 0*i - h = 0. Let u = -87 + 96. Solve -5*n - u = 1, i = q - n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(1573)*-2 + 5 - (0 + sqrt(1573) + -1 - (sqrt(1573) + 0 + -3))))**2 + 1.\nAnswer: 44*sqrt(13) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14252*q - 185045. Determine f(-13).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11642*q**2 - 23333*q**2 + 11690*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217273 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**5*a*a**2)\/(a\/(a*a**(1\/4)\/a))**(-4\/29))\/(((a\/a**(-3\/5))\/a)**(2\/15))**(-4\/27) assuming a is positive.\nAnswer: a**(198007\/19575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 15. Let d(y) = y**2 - y - 4. Let c be d(-3). Let h be u(c). Suppose 4*i + 4*n = 4, 3*n = 2*i - 3*i - h. Let a(r) = r**2 - 7*r + 5. What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - 4) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((-3)\/(-900)*10*-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/2 + 15*o - 63\/2 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 360*p**2 + 15425*p + 55620.\nAnswer: -5*(p - 103)*(p + 4)*(p + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -36*s + 35. Let t(a) = -20*a + 25. Let y(w) = -2*c(w) + 3*t(w). Let h(o) = -3*o - 1. Give h(y(q)).\nAnswer: -36*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4174986768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -543306009*m + 503385676.\nAnswer: -543306009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/12 + 122\/(-12) + (11 - 9).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13008598*b**3*z**3 - 157*b**2*z**3 - b**2 + 832 wrt b?\nAnswer: -78051588*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3028 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/62 in 172, -23, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 17*v + 14. Determine l(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-752)\/(-80) - (-2)\/(-5). Suppose 2*b = s*b + 42. Let f be b + 12 + 0 + 0. Solve -5*p + 3*d = f*d + 14, 5*p + 20 = -5*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (-3 + sqrt(1872)*1)) + (sqrt(1872)*2 - sqrt(1872)) + 1)**2 + 0.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = 150 + 189 + 98 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*v + 0*v + 109 = 0, -3*o + 73 = -5*v. Let i(n) = 13 - o - 3*n + 8. Let x(j) = 6*j**2. Give x(i(k)).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -36443976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g + 182. Let v be l(16). Let r(m) = 2*m. Let p(k) = -2*k**3 - 3*k**2 - k + 2. Let z be p(1). Let w(i) = i**2 + 3*i. Calculate v*r(h) + z*w(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2981955, -2981960, -2981965, -2981970, -2981975?\nAnswer: -2981980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4255, 17114, 38685, 68968, 107963, 155670?\n\"Answer: 4356*m**2 - 209*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1131732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -105.\nAnswer: 23\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/42)\/((-1)\/(-12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 315 - 1036 = -3*j, -2*j + 904 = -3*b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 60. Let y = 33 - c. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*u + 20, 5*u = -r + 12 - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -317 and 12562.\nAnswer: -3982154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/15 - 316*o\/5 + 190\/3.\nAnswer: -2*(o - 1)*(o + 475)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 21*l**2 - 47*l + 20. Let b be a(-8). What is b rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -53. Let a(o) be the first derivative of 0*o - 1 + 1\/2*o**k. Let p(h) = -2*h**2. Calculate p(a(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519539, 519514, 519475, 519422, 519355, 519274?\nAnswer: 519179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000011101 (base 2) to base 7.\nAnswer: 21004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -69, -85, -99, -105, -97?\n\"Answer: s**3 - 8*s**2 + 5*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11336)\/182*(-25165)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -45. Suppose 4*g + 3*a = 5*a + 48, 5*g - 2*a = 60. Suppose -c = m - 3*c - g, -h*m + 4*c + 30 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/128)\/((-2)\/(-16) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, -0.2, -0.06, 1\/45?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*p**3*w**2*y + p**3 + 132*p*w**2*y + 4451*p*w*y - 3*p*y wrt w?\nAnswer: 30*p**3*y + 264*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2494 and 2498 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92953 and 0.24.\nAnswer: 92953.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*x - 282 + 1232 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -736.9998923 - -737. Round t to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1754235 and 26\/428813.\nAnswer: 19296585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3)\/((-426)\/(-284))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265041626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - -2*(sqrt(1700) + -1))**2 + 5*(sqrt(1700) + -2) + ((sqrt(1700) + 1 + sqrt(1700))*-2 + -2)**2*5.\nAnswer: 1530*sqrt(17) + 151374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 + -254. Let n = 84 + -55. What is the highest common divisor of j and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14291 by -57.\nAnswer: 14291\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 10*x = 5. Suppose 11 - x = 5*r. Factor 1\/6*j**5 + 2\/3*j + 13\/6*j**3 - r*j**2 - j**4 + 0.\nAnswer: j*(j - 2)**2*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/17*r**2 - 26\/17*r + 2\/17*r**3 - 14\/17 = 0. What is r?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330 divided by 66.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 21. Let s = 4 + -7. Let f(z) = -z**3 - 4*z**2 - 4*z. Let h be f(s). Calculate the highest common divisor of w and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97.30948 litres?\nAnswer: 97309.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 0.042, -4\/3, 2?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -134 - 461. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 52*t - 10*t + (-3*t - 2*t + 4*t)*(-3 + 2 + 0) - t + 5*t + 2*t.\nAnswer: -53*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 27. Let m(n) = -13 + 7 + g - 6*n. Let r(u) = 9*u + 6. Determine -7*m(v) - 5*r(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 4, -27, -2 in ascending order.\nAnswer: -27, -2, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 856582.5 - -13?\nAnswer: 856595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.6. Let t = k + -1.4. Sort -0.5, 4, t in increasing order.\nAnswer: t, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n)\/n*n**47*(n*n**(2\/13)*n)**3 assuming n is positive.\nAnswer: n**(721\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/10*(12\/(-2) - -11). Let q(c) be the second derivative of 0 + 0*c**2 - 3\/70*c**5 + 4\/21*c**t + 0*c**4 - 1\/105*c**6 + 3*c. Factor q(x).\nAnswer: -2*x*(x - 1)*(x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**3 - 289*x**2 - 1211*x - 924. Let u(d) = 34*d**3 - 1446*d**2 - 6058*d - 4620. Let b(q) = -14*p(q) + 3*u(q). Factor b(a).\nAnswer: 4*(a - 77)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x + 2*g + 9, 4*x - g - 3 = 0. Suppose x = -4*o + 2*y + 379994, 0 = -2*o - 3*y - y + 190012. Round o to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttm when three letters picked without replacement from tmmmtmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -17*b**7\/21 + 13*b**4\/12 - 5*b**3\/6 + 372*b. What is the second derivative of a(p) wrt p?\nAnswer: -680*p**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-33)*-3)\/(7\/14).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*6\/1. Let z(g) = i + g**2 - 1 - 1. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let z = b + 2. Let h = -52 - -57. Solve 0 = -4*q + h*q + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3717*n - 5 + 5 - 3242*n - 9944*n to m + a*n and give a.\nAnswer: -9469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023320 - 232?\nAnswer: 2023022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 7*g**5\/30 - 5*g**4\/6 - 2*g**2 + 10*g. Let y(q) be the first derivative of w(q). Find the second derivative of y(h) wrt h.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -32)*3\/18*(-2 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 762 - 761. Which is the nearest to x? (a) -1\/2 (b) -1 (c) 58 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602418 is divided by 536?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 5*i)*(-6*i**3 - 2*i**3 + 4*i**3) + (-3*i + 3*i + 2*i**4)*(42 - 12 + 27).\nAnswer: 118*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 5*m - 2*m**2. Let o be (-1 + -1 + 0)*(-1)\/(-2). What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51952 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v - 43. Calculate o(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.4 - 8. Let n = 1 - k. Let z = 2873 - 2866. What is the third biggest value in 2\/11, n, 0.5, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-4) + (-322)\/56)\/(-1). Let z be 1 - 8\/(-2)*1. Suppose -3*r - 9 = -6*r. Solve -10 = -z*w + 3*f, -2*f + 6*f = r*w + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkk when three letters picked without replacement from {n: 8, k: 9, a: 2}?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.67 - 2458032797.\nAnswer: -2458032785.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let s be 1 - 0 - (-4)\/a. What is the third biggest value in -5, s, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14397937 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19085367 to the nearest integer?\nAnswer: 4369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.1, 3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1843 - -1969. Calculate the highest common factor of w and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 52*j**2 + 14*j - 56. Let i be h(-17). Let u(w) = 14*w**2 - 14*w + 8. Let s(p) = -9*p**2 + 9*p - 5. Determine i*u(o) - 8*s(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gajjq. Give prob of sequence jq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t - 780. Let y = t - -1563\/4. Determine f, given that -9\/8*f**4 + 0*f - 3\/2 + 27\/8*f**2 - y*f**3 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3534)\/285)\/31 - ((-2)\/6)\/(10\/(-18)). Let y(a) = a + 2*a - a + a**2 + 2. Let i(d) = d + 1. Give g*y(l) + 2*i(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 525734.2 millilitres?\nAnswer: 525.7342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -287, -1, 3, -2 in decreasing order.\nAnswer: 3, -1, -2, -4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/4 - 139*w**3\/4 - 2061*w**2\/2 + 7186*w - 9968 = 0.\nAnswer: -89, -56, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 - 1\/6*o**3 + 5\/6*o**4 + 3\/2*o**2 - 7*o. What is the remainder when f(2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/12 - (-1)\/(-4). Let h = i + 1. Suppose h*v + 14 = l, l = 2*v + 3*v + 29. Calculate the highest common factor of l and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u**3 - 2*u**2 - 2*u - 2. Let m be c(-1). Is m smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*a + 4*a**2 + 821*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 34*x + 12. Let c be p(5). Suppose -c = 5*d + 2*d. Let a = d - -23. Let k(i) = -i**2 - 3*i + 3. Calculate k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6981.2*0.4\nAnswer: 2792.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35571304 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 41 = -3*w - g, 3*g - 47 = -4*w. Let s be 6*(-2 - (-27)\/6). Suppose -s*r + 80 = 5. Solve -1 + w = r*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 88 + 3 + -29?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) + 0\/2)*39\/78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -g - 24*u + 1, 3*g - 3 = 3*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6790881\/14 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 7, -3, 52 in increasing order.\nAnswer: -3, 2, 5, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - s - 437 = -4*p, 4*s + 269 = 3*p. Let t = p + -81. Suppose 0 = -6*f + 4*f + 18. Is t at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.054, -0.5, 0.3, 6977?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 (base 11) in base 9?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/5, -4, 3, 1\/9, 569, 4?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5005 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 72.3\nAnswer: -144.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/11))**(16\/5))**10)**46)**(-31) assuming v is positive.\nAnswer: v**(-91264\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 785 - 234. Suppose -3*c = -3*z - 105, -c = 18*z + 106 + 163. Calculate the greatest common divisor of c and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.3 (c) -545\/4 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 173 = 2*n, -3*n - 3*b - 2*b = -272. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -31800*r**2 - 667808*r - 49. Calculate y(-21).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*j - 22 + 0 = 0, 3*c - j - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 3*v, 2*v + 7 = x + 1. Suppose -2 = -s, -d = -x*d - 3*s + 96. Calculate the highest common divisor of d and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, d: 4}. What is prob of picking 3 d?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j + 7*j - 8 + 0*j.\nAnswer: 5*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32872358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608124387?\nAnswer: 3, 13, 59, 127, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 19 - 15. What is the third derivative of -25*m**o - 4*m**2 + 50 + 81*m**3 - 51 wrt m?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/1457*3\/(-9).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12948 divided by -163?\nAnswer: -12948\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.041 and -24.049.\nAnswer: -0.986009","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14315 divided by -3571.\nAnswer: -14315\/3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12055*j**2. Let l(i) = -12506*i. Give l(s(b)).\nAnswer: 150759830*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209\/2580 + -4\/129. Let r(i) be the second derivative of t*i**4 - i + 1\/5*i**3 + 3\/10*i**2 + 0. Factor r(h).\nAnswer: 3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 425 = -3*n, 5*n + a - 6*a - 650 = 0. Suppose 7*h - 3*h = 12560. Suppose -h + 1070 = -23*p. What is the highest common divisor of p and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 52\/(-60) - (-1)\/(16665\/25048).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -715.71 - -299.4.\nAnswer: -416.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:40 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let c be o(-2). What is the third biggest value in 0.3, 1, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h + 20. Let l be (-2)\/h - 129\/(-15). What is the highest common factor of 81 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*s + 5, -4*r + 0*r - 10 = 2*s. Let h(f) = 20*f - 10. Let z(j) = 4*j - 2. Let n(a) = s*h(a) + 14*z(a). Differentiate n(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, -3, 2\/219 in descending order.\nAnswer: 0.5, 2\/219, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 171874*h\/11 - 171872\/11.\nAnswer: -2*(h - 85936)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 22*s - 30. Give f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**3 + 5*d**2 - 2*d - 7. Let k be (-1)\/((-100)\/(-24) + -4). Let s(j) = 4*j**3 + 2*j**2 - j - 3. What is k*p(o) + 14*s(o)?\nAnswer: 2*o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) 2 (c) -3 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from ffccwfwffwff.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3019833 divided by 3789\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 - 62 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 divided by 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 1\/9, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 14)\/((-4)\/(-10)). Does 2 divide (14\/35)\/(2\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7533462.45 to the nearest one thousand.\nAnswer: -7533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-5)\/(-4)) - 1. Find the first derivative of 18 + 24 - 3*p**w - 39 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29\/252 + 3\/28. Let g be (-4)\/8 + (0 - (-9)\/2). Suppose -8*x = -g*x - 84. What is the third smallest value in m, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 849 = -4*h - 5*x, -3*h - 2*x - 633 = 0. Let j be (-46)\/(-4)*(-56)\/(-2). Let g = j + h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(242) + sqrt(242) + -3*(sqrt(242) + 2)**2.\nAnswer: -733 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -51\/4. Let z = 2.04 + -0.04. Let v = 2 - z. Which is the biggest value? (a) -2\/5 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 139, 200, 257, 310, 359, 404?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + u + 2296 = 0, 0 = 2*q + 4*u + 460 - 1972. Let o = 9187\/12 - q. Find the common denominator of -9\/20 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**3\/3 + 6*f**2. Let o(y) = -1 - 2*y + y + 2*y. Calculate 2*o(w) - s(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 10, -2, 4 in decreasing order.\nAnswer: 10, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 8*h**2 - 10*h - 10. Suppose 5*g = 3*u - 0*g - 2, -2*u + 3 = -3*g. Let d be p(u). Let m = -13 - d. Let b(v) = v - 7. Determine b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odxd when four letters picked without replacement from ooxoxoxxooxfxddxxfes?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f - 40*f + 30*f.\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -4*r + 97, 0 = -2*j - r - 4604405. Round j to the nearest ten thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/3)*j))\/(j*j**(-15)))\/(j\/((j\/j**0*j)\/j*j))**46)**(-28) assuming j is positive.\nAnswer: j**(-5012\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1106 - 212*j + 1118 + 203*j - 2224.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3)*(-35)\/((-2275)\/(-494))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5 + 5*u - 457*u**2 + 1 + 5536*u**2. Let j be s(-4). Let r be (3 - 114\/(-10))*j. What is r rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167244 divided by 362\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, 0, 4640?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273660 + 391611. Let z(k) = -2507*k**3 - 3*k**2 - 4*k - 3. Let p be z(-2). Suppose 6*x + j = -p. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/720 - 2*f**5\/15 - 37*f**4\/12 - 19*f. Let q(v) be the third derivative of j(v). What is q(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let q = 35.55 + -36.05. Which is the smallest value? (a) 1\/7 (b) q (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6107 - 1?\nAnswer: -6108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - -1*sqrt(70)*5))\/(-4*2*sqrt(10)).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3 + (-3791)\/(-51) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350225 by 108.\nAnswer: 150025\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -y - 5, -2 = -2*y - 2*j. Suppose -54*u + 1101 = -144*u - 277*u. Put 0, y, u, -5 in increasing order.\nAnswer: -5, y, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - 368\/(-32). Suppose -v = 3*t - 10, -v + n = 2*v. Suppose -t*b + 3*h = -151, 3*h - 1 = 2. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let a(o) = -2*o**2 + 21*o - 8. Let n(t) = 158*t - 315. Let p be n(2). Determine p*a(z) + 6*j(z).\nAnswer: -2*z**2 + 21*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -53500?\nAnswer: -53501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - 220\/18. Suppose -8*c + 41 = 329. Let o be (c\/20)\/(k\/20). Solve 0 = -2*h + o*z - 6, 5*h + 0*z - z = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - -45a74?\nAnswer: 45a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**2 + 0*d**2 + (3*d**2 - 4*d**2 + 2*d**2)*(-d**2 + 5*d - 5*d) + (2*d**2 - 2*d**2 - 2*d**2)*(3485 + 16*d - 1746 - 12*d**2 - 1741).\nAnswer: 25*d**4 - 32*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3439296 divided by 853.\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 15*w - 5. Suppose 6*x - 43 - 17 = 0. Let d be k(x). Calculate the greatest common divisor of 29 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 - 22?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 428\/18 - 32\/(-144). Let f = 32 - k. Suppose 0*v + f*v = 0. Solve -2*x + 1 - 3 = v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u**3 + u)*(-2 + 3 - 5 + (1 + 3 - 2)*(-3 + 3 - 2 + (0 + 2 - 4)*(1 + 1 + 0))) to the form b*u**3 + p + x*u**2 + o*u and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2116, -2169, -2236, -2323, -2436, -2581, -2764?\n\"Answer: -t**3 - t**2 - 43*t - 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -91 - (-13 + -1)) + (1 - 2) + 0\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 14, a: 5}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27866307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1606, -1610, -1614?\n\"Answer: -4*n - 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 4 + 2 + 6 - 1 + 6*v. Let r(h) = -h**2 - h. Let z(f) = m(f) + 6*r(f). Differentiate z(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 96*u**2 - 57*u + 9. Let y(i) = 130*i**2 - 59*i + 11. Give 5*v(w) - 4*y(w).\nAnswer: -40*w**2 - 49*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -44a6?\nAnswer: -44a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let p be (-14)\/(-21) + w\/6. Suppose 2*m - 3 = -1, -4*m + 28 = 8*q. Solve -11 = -q*z + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4365860 and -25\/18.\nAnswer: 39292740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.4. Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/77*i**7 - 8\/11*i**2 + 28\/33*i**3 - 38*i - 19\/110*i**5 + 2\/165*i**6 + 0 - 1\/11*i**4. Solve k(u) = 0.\nAnswer: -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -0.06\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -51*o**2 + o + 1. Let g be u(-1). Let i = -4 - g. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 57*o - 2. Let b(x) = 761*x**2 - x - 3. Determine v(b(y)).\nAnswer: 43377*y**2 - 57*y - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 - x**2 + 2*x - 1. Let b be o(1). Suppose -m + 107 = b*z - 803, -z + 182 = 4*m. Suppose 2*n + 0*n - z = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-12)\/4284*14)\/(2*-1)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10413.98 + 10414. Which is the fourth smallest value? (a) -4 (b) 1\/5 (c) 6 (d) 2 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2905 - 2094. Which is smaller: w or 813?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*j + 3566*j - 27 - 1 - 13 - 1180*j - 1184*j.\nAnswer: 8*j - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 154, 178, 202, 226?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 228f41 - e?\nAnswer: 228f33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 449*t - 56. Let u(d) = -449*d + 57. Let l(z) = -5*n(z) - 6*u(z). What are the prime factors of l(3)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 99*m**8\/56 + m**7\/21 + 931*m**4\/12 - 210*m. What is the third derivative of w(g) wrt g?\nAnswer: 11880*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100943830 or 100943831?\nAnswer: 100943830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 617 and 4319?\nAnswer: 4319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 6*w**2 - 1 + 2*w - w. Let y be r(1). Let d(p) = 2*p + 3. Determine d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose -3*i - g = -47. Suppose -i = 6*u - 3*u. What is the closest to -0.1 in u, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 47*c**2 + 45*c - 215. Let o be b(15). Put -4, o, -15, -3 in ascending order.\nAnswer: -15, -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 12}. Give prob of sequence tbtb.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3046 divide 85108286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5*-1*sqrt(475) + sqrt(475) + -4) + -4 + -5)*6)**2.\nAnswer: 129600*sqrt(19) + 9857700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -5.792?\nAnswer: 4.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 521148 and 76172.\nAnswer: 72439572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 2 (c) 2\/117 (d) 802 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -4, 83.\nAnswer: -4, 0.4, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from byk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4 in decreasing order.\nAnswer: 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3379, -4968, -7613, -11308, -16047, -21824, -28633?\nAnswer: -36468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 55*l**2 + 66*l**2 - 188*l**2 + 20*l**2. Let r(p) = -20*p**2. Give i(r(w)).\nAnswer: -18800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 6. Let r(d) = -d. Determine -c(n) + 2*r(n).\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 823140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygyynyugnuungyguyud. Give prob of sequence nu.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 4457078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/15)\/((-2)\/30). Let i = q + 67\/7. Which is the smallest value? (a) i (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141683822 divided by 10120273?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.32, 4, -5, 3\/4 in descending order.\nAnswer: 4, 3\/4, 0.32, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -98, 193, 682, 1369, 2254, 3337?\n\"Answer: 99*c**2 - 6*c - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 11*x**5\/15 + 3*x**4\/4 - 13*x**3\/9 - 3*x**2\/2 + 2*x\/3 - 447. Solve m(t) = 0.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.358452059 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9331 is divided by 260.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 - 12 = 0. Suppose 3*s + n - 88 = -0*n, -g*n = -3*s + 72. Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:30 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let w(o) = 4*o - 4*o - 2 + 0*o - 3*o**2 + v*o - o**3. Let j be w(-4). Which is bigger: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.6 and 0.3.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2 + 2)*((0 + 0 - 2*y**2)*(-1 - 1 + 4) - 4*y**2 + 6*y**2 + y**2 - 4*y**2 + 2*y**2 - y**2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/5, 1\/5, -8, 0.1, -41 in increasing order.\nAnswer: -41, -8, 0, 0.1, 1\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1983 (b) 0 (c) -10 (d) -2 (e) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11))**(-29)*p**(-2\/7)\/(p\/(p*p**9*p*p)) assuming p is positive.\nAnswer: p**(1231\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 26. Let s = 143 + -137. Let v be l(s). Solve -v*u + 4*n = -4 - 18, 0 = n + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.57 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 7*b**3 - 6*b**4 - 5*b**3 - 2 + 0 + 13*b**3 in the form t*b**3 + l + d*b**2 + j*b**4 + h*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-12)\/15)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 26. Suppose 8 + 62 = 5*q + 5*v, q - p*v = -11. Suppose 12 = f - q. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.9981 - -0.0019. Sort -4\/17, 3, p in decreasing order.\nAnswer: p, 3, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 8 (c) -0.4 (d) -0.2 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5528 + 11?\nAnswer: 5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2525744*x**3 + 21202247*x**2?\nAnswer: 15154464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 16. Let s(v) = -15*v**2. Let r be s(1). Let k be 4*(-1 - r\/10*1). What is the greatest common factor of k and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -22*z - 57. Suppose 0 = -u - z*x + 54, x - 81 = -u + 5*x. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 110110110111110?\nAnswer: 110110111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 12:58 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/30 + 0 - (-212)\/(-10). List the prime factors of 505 + x\/49*-7.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3109, -6211, -9313, -12415?\n\"Answer: -3102*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (25608\/3)\/((-10)\/(-125000)). Let u = 10 + -1. Suppose 0 = u*p + 2*p - z. What is p rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -271089*u + 441. Let l(x) = -1232*x + 2. Calculate 2*j(o) - 441*l(o).\nAnswer: 1134*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.055 + -0.045. Let f be 1\/(-2) - (-14)\/36. Suppose -2*p + 3 = -3*v, 0 = -3*v + 4*v - p + 2. Which is the nearest to u? (a) f (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152460 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05696934327 to four dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**3\/3 + 2*x**2 - 5*x - 2. Let i be t(-7). Calculate the remainder when ((-14)\/4)\/((-1)\/i) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -11?\nAnswer: 213\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286686 (base 9) to base 3.\nAnswer: 22220202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) 1\/22 (c) -20 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 772, 1512, 2272, 3058, 3876?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*x**4 + 2*m*x**2 + 61*x**3 - 70*x**2 wrt x.\nAnswer: -48*m*x + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 651*r**2 - 29*r**3 + 3 + 651*r**2.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1131*u + 4864. Determine r(4).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31*h - 2. Let u(k) = -216*k + 15. Give 15*r(t) + 2*u(t).\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + ((-180)\/234 - (-12546)\/221)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99572, 99574, 99576, 99578, 99580, 99582?\nAnswer: 99584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73 - -0.89. Let m be -5 + (-3)\/(3\/(-4)). Sort m, -0.2, h in decreasing order.\nAnswer: h, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0 (c) -28 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/3680 - 260\/1216.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 260379?\nAnswer: 1301895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9612?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049 times -8?\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 40440 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116.235 + 137.12. What is z rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(1800) + sqrt(1800)*2 - sqrt(18)))\/(-6*sqrt(36)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 18*x**2 + 18*x - 2. Calculate h(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7693*l**4 + 346*l - 8?\nAnswer: 92316*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 118747 = 5*a, 4*d = 71*a - 68*a - 71225. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:42 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02246518 rounded to 4 dps?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - -4 - 0 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 10 - 1)*(5*j + 3*j - 7*j)*(2133 + 12*j**2 - 2133) to v*j + s + d*j**3 + m*j**2 and give d.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = -m, -875 = -3*a + m - 866 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 1287*w**2 - 71 + 71 - 3*w - 325*w**2. Let s(i) = -i**2. Calculate d(s(r)).\nAnswer: -1612*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-81) + 26\/(-3). Let s(w) = 12604*w**2 - 6*w + 22. Let p be s(u). What is p rounded to the nearest ten thousand?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03606 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 0, -1, 13 in increasing order.\nAnswer: -1, 0, 13, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 5*s - 5. Let k be x(-4). Let o be (9\/12)\/(k\/(-104)). Suppose 0 = 2*z - o + 22. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 10*d + 4*o + 16, -5*o - 10 = 0. Let h = -8 - -13. Solve -d*a = -h*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 2415.901, 2\/9, -2\/17, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1155.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4323 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203867 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -777 divided by -5\nAnswer: 777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(17))*2 + 0 + sqrt(85)\/sqrt(5))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + d. Suppose -19 = c - 3*w + 8, -145 = 5*c - 5*w. Let y(n) = -7*n**2 + 2*n - 4. Let h(s) = c*r(s) + 5*y(s). Determine u, given that h(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949153097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -499. What is the remainder when 643 is divided by l*7 - (-32 + 28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l - 6. Let q be o(4). Suppose 5*y = 5*s - 4*s + 48, y = s + 28. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/2 - 73*d**4\/2 + 1537*d**3\/2 - 6651*d**2\/2 - 9207*d + 26136 = 0. What is d?\nAnswer: -3, 2, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 211, 230, 243, 244, 227?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(490) + sqrt(490) + -2*sqrt(490) - (2*sqrt(640) + sqrt(10))))\/((-6*-2*sqrt(80) - sqrt(80))*-1)*-2.\nAnswer: 51*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*m + 12. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -913 + 957. Suppose -y*k = -37*k - 82901. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + -19. Let w = -44 - t. Let b = 11 + -7. What is the nearest to w in b, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 13*s + 36. Let k be z(10). Solve 3*m = -12 + k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192828163?\nAnswer: 37, 32238599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*r + 66 = 0, -3*r + 0*r = 0. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + ((-1*sqrt(76)*-1 + 3*(sqrt(76) + sqrt(76) + -2*sqrt(76)))\/((sqrt(36) - (-2*sqrt(288))\/sqrt(8))\/sqrt(9)))**2).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:03 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*d + 14, -4*d + 6*d - 90 = -23*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 8) to base 13.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let g be ((-39)\/(1989\/(-272)))\/((-4)\/(-3)). Let k(b) = 14*b - 3. Determine g*l(o) - k(o).\nAnswer: -10*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -579*d - 1818. Give g(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {z: 2, q: 2, k: 1, s: 1, c: 2, w: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 16, -2\/13.\nAnswer: -3, -2\/13, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3128 = 4*i, -3*f - 4*i + 2346 = -3*i. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v + 182. Calculate the remainder when v\/28 - (-2)\/(-8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 b when four letters picked without replacement from {b: 14, d: 4}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d. Let b(p) be the first derivative of p**2 - 28*p + 6. Let c be b(18). Let a(v) = -6*v + 2*v + c*v - 2*v. Calculate a(k(j)).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.6 - -31. Let u = 2.9 - x. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lazaazaalzaazllz. What is prob of sequence la?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1955 + -13.2655. Let f = 13 + b. Let q = f - 0.23. What is the biggest value in -1\/6, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 1.03. Which is smaller: h or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2889964 and 2926?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 8*z**2 + 5. Let v be j(8). Let a = 3 + v. Suppose 0 = -4*m + a*m - 452. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 387.8, 5, 0.5, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3843245.\nAnswer: 5, 7, 109807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 233. Let q be o(-26). What is the highest common divisor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 22*y + 334008. Is y a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284821 and 542?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 244*y**2 - 5241*y + 8584. Determine t(-220).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 - 225225*v**2\/2 - 16409451*v.\nAnswer: -3*v*(v + 146)*(v + 74929)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034506 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3363.113 - 2316714.113. Let k = 2313350.59000136 + q. Let y = k - -0.41. Round y to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1\/2, -416.9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from papap.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and 605.\nAnswer: -2238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.663844km to meters.\nAnswer: 4663.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367770\/(-820)*(-20)\/195.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t. Let s(g) be the third derivative of g**7\/2520 - g**4\/4 + 6*g**2. Let o(p) be the second derivative of s(p). What is o(l(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -157 (c) -12614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 138*b**2 + 97*b - 117. Is c(32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 831.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (10 - 2) + -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 25 = -5*v, 35*v - 36*v + 2*o - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**2 - 26*h - 212. Let y be g(-10). Suppose -208*v = -216*v + y. What is the highest common factor of 96 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 13*s**2 - 7*s - 4. Let z be o(-6). Solve 2*i - 6 + z = 0, 5*w + 4*i = 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 + 4.1. Let d = 170.9 + -171. What is the smallest value in 0.1, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 75*c**2 + 9*c - 65. What is u(-24)?\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aab - -11b2b5?\nAnswer: 11bd82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 46*w**2 - 571*w - 1882. Determine q(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - m + 0 + (1 - 1 + 2)*(2*m - 5*m + 2*m) + (m - 2*m + 0*m)*(2 - 4 - 2) + 5*m + 6*m + m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1))\/(60 + -61)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3806, -0.2 in descending order.\nAnswer: -0.2, -2, -3806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 11*n + 15*n**4 - 1\/5*n**5 - 38 + 1\/3*n**3 + 0*n**2. What is the third derivative of u(r) wrt r?\nAnswer: -24*r + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-42)*-6*(29 - -6). Sort -3, o, 0, 2, -2 in descending order.\nAnswer: o, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 8:27 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885733.\nAnswer: 885733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -155153423 (base 6) in base 14?\nAnswer: -6289a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - 1) - (-198 + 204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 90) + 25 + 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 + i - 1. Give w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + j + 1. Let t be (1 - 0 - 6)*-1. Let k = -132 - -138. Suppose -c - t = -k. Let m(p) = p**3 - p**2 + p + 1. Determine c*w(z) - 2*m(z).\nAnswer: -2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = n + 420604, 56*y - 51*y - 420600 = 5*n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2444 and 9212.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 - 9*u + 10. Let w be m(8). Let n(r) = -r + 26*r**2 - 12*r**w - 13*r**2. Let i(p) = -3*p**2 + 4*p - 4. Determine i(t) + 4*n(t).\nAnswer: t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**11)\/k**11)\/(k**3*k**(1\/7)) assuming k is positive.\nAnswer: k**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 11. Let u(x) = 2*x - 23. Let d(z) = -5*o(z) - 2*u(z). Let v be d(11). Let s be 16*-6250*(3 - v). What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - 5*z**3\/2 - 4*z**2 - 2*z.\nAnswer: -z*(z + 1)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 19*j - 10*j - 43 + 0*j)*(0 + 6 - 1).\nAnswer: 45*j + 275","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.617 - -0.117. Let d = -11.14 + 11. Let h = 0.14 + d. What is the third smallest value in l, -9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/34)\/(3\/12*-2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 1:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/3 + -19. Suppose -45 = -4*c + 39. Let m = c + -20. What is the second smallest value in y, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + w - 1 + 1 + 2*w + (2*w + 0*w - w)*(-3 + 4 - 2) + 1 - 1 + 2*w + 28 - 28 + 6*w)*(6*w - 4*w + 4*w).\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/1*-1)\/(58*(-402)\/69948)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -53288574.9 to the nearest one hundred thousand.\nAnswer: -53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580\/2 - (-1 + 1)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 16*r + 30.\nAnswer: 2*(r + 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 + 461*a - 1857?\nAnswer: 6*a**2 + 461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + -2c95?\nAnswer: -2cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 p when three letters picked without replacement from {k: 1, g: 2, a: 1, r: 2, c: 1, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - (-2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x + 4. Let k(o) = -10*o + 5. Let y(b) = -4*k(b) + 5*s(b). Determine y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321585021 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7660.427 minutes?\nAnswer: 459625620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15716\/35 - 449. Is 1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 239, 914, 2027, 3578?\n\"Answer: 219*j**2 + 18*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 8. Let m be f(7). Let z be (m - -2)*(-19)\/(-1). Let g = z + -3. What is the smallest common multiple of g and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1004 - 708. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 = -540. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396003.\nAnswer: 3, 132001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a + 4 = 0. Is a at least -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*j - 4*j + 20, -5*x - 2*j + 10 = 0. Suppose 13*n + 156 = -x*n. Is n greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(0*u**2 + u**2 + u**2) - 4*u**2 - 6*u + 6*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*f - f + 4 = 0, 2*d + 3*f = -4. Let n be -4 + d - (2 - 50). Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from eyeeyeezyyeeee?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 - 169. Let h(p) = -2*p**2 + 7*p + 7. Let u = 20 - 16. Let a be h(u). Solve 8 = -v*r + 3*k - 5*k, 2*r + 13 = -a*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 0, -2*n + 7 + 5 = -5*o. What is the lowest common multiple of 1 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 5*f**8\/2016 - 23*f**5\/30 - 57*f**2. Let s(i) be the third derivative of n(i). Let v(y) = -2*y. Give v(s(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1892256 and 43\/24288.\nAnswer: 20814816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 - 3*o**2 - o - 2. Suppose -441 = -72*l - 75*l. Suppose -6 = -3*m - 0*m. Let z(s) = 5*s**3 + 4*s**2 + 3. Give l*c(f) + m*z(f).\nAnswer: -2*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8533\/78 + -326\/3. Let y = 162 + -165. Calculate the common denominator of y and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/7 - 65680*w\/7 = 0 for w.\nAnswer: -32840, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388271 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.139855073 from -0.1.\nAnswer: 9.039855073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304794117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 1442, 4212, 8344, 13838?\nAnswer: 20694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525204214?\nAnswer: 2, 262602107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4588\/3 - 1506. Let x be 519\/8304 - 2202\/(-16)*(-3)\/(-18). Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = -4*f - f, f - 2 = p. Let o be (85\/153)\/(9\/((-810)\/(-10))). Is o > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 62*x - 715. Let s be m(10). Let w(t) = -120*t**3 + 21*t**2. Let a(c) = 30*c**3 - 5*c**2. Give s*w(d) + 21*a(d).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, i: 2}. What is prob of picking 4 w?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 82. Suppose 3*w - 26 = w + 2*n, 2*w - 5*n - y = 0. Calculate the least common multiple of 7 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(135\/(-630))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 - 78*o**2 + 68*o**2 - 100*o**2.\nAnswer: -137*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4289.73 to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26660128 to the power of 1\/2, to the nearest integer?\nAnswer: 5163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4174925, 4174889, 4174817, 4174691, 4174493, 4174205, 4173809, 4173287?\nAnswer: 4172621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 2*z = -22*h + 6, -h + 22 = 5*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(sqrt(468) + 2) - (-2 + sqrt(468))*-5) + -2 + -4 + 5)**2.\nAnswer: -168*sqrt(13) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325414 is divided by 755.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 3852921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -0.01577?\nAnswer: -0.01577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13995 + 13995 - 207*b**3.\nAnswer: -207*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(132)\/sqrt(4))\/sqrt(3).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 441 + 441.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 214316895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 4. Let y(z) = z**2 - z + 2. Determine -2*a(p) - 2*y(p).\nAnswer: 2*p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1997543281 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.07\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.27. Let w = 0.27 - b. What is the third smallest value in -0.3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/19 + -359\/342. What is the second smallest value in -2\/9, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1756)\/5)\/(-2) + 82\/205. Is -0.1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwradiaewwd. What is prob of sequence rda?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53021025*o**2*s + 138*o*s + 10748*o + 2*s + 4 wrt o.\nAnswer: -106042050*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**4 - 2*n**3 - 61*n**2 - 2?\nAnswer: 216*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -24. Suppose 6 = b + 2*b. Suppose -k = -4*y + b. Calculate the highest common divisor of 132 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32521 and 1004325.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 11. Let c be r(9). Let o(j) = j**3 + 2*j**2 - 2*j - 3. Let d be o(c). Sort 4, 3, d in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3992*h**4 + 8*h - h**3 + h**3 + 128 - 3428*h**4 wrt h.\nAnswer: 6768*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let z(j) = -863483*j. What is b(z(g))?\nAnswer: -863483*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1647, -0.1, 0.1, 92?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -691 or 46?\nAnswer: -691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2167 + -333?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/26 - (-30)\/(-26). Let m = -3127 + 3131.7. Does k = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-3 - -3) - 11. Let g = a + 12. Suppose 0 = 9*t - g*t - 90. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxoo when four letters picked without replacement from {z: 1, m: 2, x: 6, n: 6, o: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k - 40. Let b be n(5). Let y be (-2 - b) + (-224)\/(-9 + -7). Solve -158*g + 155*g - y = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-705)\/(-6)*(-4380)\/(-75)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746276 divided by 2?\nAnswer: -873138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 9*v + 4. Let w be f(-9). Let j(n) = w*n - n - 3*n - n. Let g(z) = -2*z. What is g(j(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1442 + -953. What is the remainder when x is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2192856 to two decimal places.\nAnswer: 7.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1*(-2)\/28). Suppose 0 = -5*l + 3*t + 17 - 2, 4*l + 4*t = 12. Suppose 0 = 3*p, -4*f + l*f = 5*p. Solve -4*m = 5*n + r, m + f = 2*n + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16214.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q - 1. Let y(j) = j**3 - 5*j**2 + 1. Let r be y(5). Calculate a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + 0)*(-2)\/4. Let n be (3\/b*-6)\/1. Let q = 8 - n. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -1399.\nAnswer: 36\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*a = -0*a - 3157, 3*u + a - 1894 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s. Let k(l) = 2*l + 7. Let j(y) = y + 3. Let o(d) = -7*j(d) + 3*k(d). What is n(o(i))?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 16. Let m be r(-11). Solve -25 = -s - m*q, -20 = s - 6*q + 2*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g - 4 + 28*g**2 - 12*g**2 - 11*g**2 to l*g + q*g**2 + t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 21477, 4, 3 in decreasing order.\nAnswer: 21477, 4, 3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 7, c: 3, o: 3, y: 1, d: 1}. What is prob of sequence eoy?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u - 0*u. Suppose 6*m - m = u, -3*m = -k + 25. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*b - 86*b + 3470 - 194 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226185*j - 59650*j + 115431*j.\nAnswer: 281966*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 5. Suppose -2*g - 2*g + 127 = -3*k, -4*k - 158 = -t*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4 + 5. Suppose -4*b + 11 = 27. What are the prime factors of n + b + 0 + 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011111110 + 1000?\nAnswer: -10010011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 118058692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25628 divided by 4\nAnswer: -6407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from {h: 2, o: 5, i: 3, f: 1, a: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15) + 31\/3 - (-54272)\/(-5632).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.46 from -0.5.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1014\/68693 - 1\/941. What is the second biggest value in k, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.267015 rounded to 0 decimal places?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 + -1011010101010101?\nAnswer: -1011010000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -43*c - 7. Let s be l(-3). Let n be 8*5\/60 - 7\/(-3). Suppose 7*v + 80 = 3*d + 2*v, -5*d - n*v = -s. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-10 + 16 + (-64 - -21))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*k + 69*k + 144*k + 460*k to the form n + m*k and give m.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122 (base 3) to base 12.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y + 4 - 76 = 0. Differentiate 4*c - 28*c**4 - 41*c**4 - 48 - y*c with respect to c.\nAnswer: -276*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((70\/(-7))\/10)\/((-30)\/(-96))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198268 at least as big as 198267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5791?\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-267*h**2 - 505*h**2 - 499*h**2) + 19 - 12*h**2 - 19.\nAnswer: 1259*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 286 - 3*q**2 - 286 as n*q + o + c*q**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2705*n - 2703*n + 14 = 0, -2*n = -2*p - 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6242429 is divided by 4126?\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12418 - 223411\/18. Let z = 3289\/2 - 1613. Calculate the common denominator of k and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 24*i**2 + 52*i**2 - 26*i**2. Let u(w) = 19*w**2. Determine h(u(c)).\nAnswer: 18050*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 863218188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let c(s) = 292*s. Give c(u(q)).\nAnswer: -292*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**3\/3 + a - 23. Let z(i) = -7*i**2 - i. Determine z(x(p)).\nAnswer: -28*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 + -5?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(5 - -1))\/2. Let i(z) = -2 - z + 3 - f - 3*z**2. Let m(q) = -13*q**2 - 4*q - 8. Give 9*i(u) - 2*m(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19*(1 + 0))\/(20\/(-320)). Suppose l + 2*u = -l + q, -5*l + 757 = 4*u. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 2*w**2 + 10*w)*(w**2 + 3*w**2 - 6*w**2) + w**4 + 2*w**4 - 4*w**4 + 2*w**4 + w**4 - w**4.\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, y: 9}. What is prob of sequence vvv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081914044 rounded to seven dps?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/30 + 4*a**5\/5 - a**3\/3 + 32*a**2 - 139*a. What is the second derivative of i(u) wrt u?\nAnswer: -12*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1aa49a3 (base 12) to base 13\nAnswer: -1242b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*m + 5 = -b, -b = -4*m + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 6 + 105\/7. Solve -10 = 3*o - 5*k, 0 = -4*k + 4 + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**8\/1344 + b**6\/240 - b**4\/96 - 79*b**2. What is u in g(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00256868513 rounded to 5 decimal places?\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*f**2 + 10 - 14*f**2 + 42*f**2 - 332*f**3 - 290*f**3 - 15*f**2 wrt f.\nAnswer: -3732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573951281 to the power of 1\/2, to the nearest integer?\nAnswer: 23957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:58 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5.4. Let d = a + 0.4. Let q = -1.3 - 1.7. What is the third biggest value in q, d, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/3*1). Let i = -2185 + 2184.8. What is the third biggest value in i, l, -2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 2282742?\nAnswer: 2282738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, -2, -171, 1 in increasing order.\nAnswer: -171, -5, -2, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let c(r) = 67 - 56*r - 42 - 26. Calculate s(c(o)).\nAnswer: 56*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/42 + (-12)\/(-7). Suppose -125 = -i*c + 101. Let q = c - 65. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-18)\/(-15)*5*(-1)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 4*s**5 - 3*s**5 + (22*s**3 - 17*s**3 + 21*s**3)*(3528*s - 3528*s - 2 - 18*s**2).\nAnswer: -465*s**5 - 52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let v = 18 - 12. Suppose v*u = u + 4*s + 19, -s = o*u - 5. Solve m - 2 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -8*h**4\/5 - 1656*h**3\/5 - 6346*h**2\/5 + 30324*h\/5 - 25578\/5 = 0.\nAnswer: -203, -7, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3055 and 2773810.\nAnswer: 130369070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:32 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 2 w when four letters picked without replacement from {n: 4, w: 2, c: 1, d: 1, l: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816*i**3 + 2794*i**3 - 608*i**3.\nAnswer: 370*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -793*g. Let l(k) = -9*k**3 + 6*k**2 - 9*k + 1. Let f be l(2). Let b(v) = -36*v. Let c(t) = f*b(t) + 3*q(t). Let s(j) = -2*j. Give c(s(a)).\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582.8 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 125*z - 914. Let i be t(8). Solve 38*w = -136 + i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2533?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 37. Let x be l(-21). Put -25, 10, 4, x in decreasing order.\nAnswer: 10, 4, x, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 44098.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.463629 less than 0.012?\nAnswer: -145.451629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3417 - 49*o - 237 + 2374*o + 1021 wrt o?\nAnswer: 2325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 211 = 61. Let h = q + -148\/3. Which is the closest to 0.1? (a) h (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vya when three letters picked without replacement from {d: 1, a: 1, y: 1, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303 and 2717607?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 1120220011000?\nAnswer: 1120220011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*(-3 + 6). Suppose 5*p = -2*b + 19, 8*b = -3*p + 3*b + 19. Factor -27*i**4 - 9*i**2 + 18*i**p - 2*i**y + 12*i**5 + 8*i**2.\nAnswer: 3*i**2*(i - 1)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13928248 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-30) - (-13)\/5. Suppose -z*o + 2*n + 26 = 0, -3*n - 10 = o + n. Let a be ((-4)\/6)\/((-4)\/o). What is the greatest common factor of a and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -269.\nAnswer: 1\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11760 and 10290.\nAnswer: 82320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33101 (base 5) to base 13.\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2\/5 + 444*s\/5 + 24642\/5 = 0.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735452458.\nAnswer: 2, 53, 683, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 11*w. Let n be m(-11). Find the third derivative of 7*y**2 + 10*y**5 + 0*y**3 + n*y**3 + 0*y**3 wrt y.\nAnswer: 600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318*y + 10460.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:47 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315718 - -315719. Let s = 3 + -3.1. Which is the nearest to -3\/5? (a) 2 (b) s (c) t (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 749201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9967 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20453053?\nAnswer: 20453053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8854 - 8084 = -70*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2144577 or -15012042\/7?\nAnswer: -15012042\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 4*z - 200 = 0, 0 = -3*o + 5*z + 196. Suppose 3*k - 42 = -3*w, 4*w + 4*k - o = -w. List the prime factors of (-3)\/(4 - 1) + w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20320080*m**3 - 56325235*m wrt m.\nAnswer: -121920480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -298.1 and 0.3.\nAnswer: -89.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.122 - 59.122. Let n = -58.8 - k. Let x = 0 + 1. Put n, x, 9 in ascending order.\nAnswer: n, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 - 6*a + 4. Let g(w) = -3*w**2 - 6*w + 3. Give 6*g(p) - 5*h(p).\nAnswer: 2*p**2 - 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - f)*(5*f**2 - 5*f**2 - f**2) - 2 + 2*f**3 + 2 - 2*f**3 + 4*f - 4*f - 17*f + 15*f**3 + 17*f.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54428?\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(847)*-1 + -2 + -4)**2 + (sqrt(252) - (sqrt(252) - (sqrt(252) + (sqrt(252)*1 + sqrt(252))*1) - sqrt(252))**2) + -4 + 1.\nAnswer: -1303 + 248*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 102 (b) 0.2 (c) 0.02856 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 32*k - 5*c = -28*k - 6580, 302*c - 300*c + 68 = -k for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5 (c) 4359 (d) 65 (e) -4 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45683573?\nAnswer: 13, 17, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.389 + 0.611. Let p be ((-1 - -5) + -2)\/(-1). Which is the biggest value? (a) p (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 4 + 7*d**2 - 17*d**2 + 11*d**2. Let t be v(-2). Suppose 4*c - 8 = t. What is the third smallest value in c, -1\/2, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 66*c + 30 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11549 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 - -2.1. Let k = -7 + 5. Let s be (k + 3)\/(7\/(-2)). Which is the second biggest value? (a) s (b) z (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 15*w**2 + 34*w - 2. Let n be o(17). Sort 1\/6, -0.3, 2, n in increasing order.\nAnswer: n, -0.3, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-28)\/56*2\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w + 2*g, 5*w + 15 + 7 = -4*g. Let r be -4*(-2)\/w - (-714)\/21. Calculate the greatest common factor of r and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.74 + 24.6. Let f = k - -1.14. Which is the nearest to 6? (a) 1 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u**5 - 33*u**4 - 18*u**3 + 123*u**2 - 120*u + 36 = 0. What is u?\nAnswer: -2, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 3)\/(27\/(-6)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 164.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l + 21*l + 72. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16*12)\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 838.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28714723801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*w = 12 - 31, -2*w + 7 = -4*v + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjklsjkwewkkkkkjke. Give prob of picking 1 k, 2 w, and 1 s.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*x + 25. Suppose -o = x*o + 96. What is the units digit of (-6)\/o - (-318)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*z**5\/4 + 56*z**4 + 29*z**3 + 4*z**2.\nAnswer: z**2*(z + 4)*(7*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8490 divided by 4245\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/28 - (-32)\/14. Determine l so that 13*l**2 + 0*l + 4*l**2 - 7*l**a + 4*l = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -30*w**3 - 49848172*w**2 + 13292848*w = 0.\nAnswer: -1661606, 0, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609477 divided by 33?\nAnswer: 18469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9383 and 121517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5 - (-2)\/((-20)\/42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0.059066\nAnswer: -5.059066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.05035 and -30905.\nAnswer: -30917.05035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 - 11 = 0. Suppose 0 = -5*f + q + z*q + 40, 0 = 2*f + 2*q + 4. Calculate the remainder when 19 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*g - g**2 + 3*g**2 + 0*g**4 + 2*g**4 + 0*g**4 as s*g**2 + j + h*g**3 + p*g**4 + l*g and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -259145 divided by -51829\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.36575, -0.3, -5.\nAnswer: -5, -0.3, 11.36575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253400.88 rounded to the nearest one thousand?\nAnswer: 1253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -77*c**2 + 7*c - 147. Let z = -338 + 347. Let f(g) = -38*g**2 + 3*g - 74. Let r(m) = z*f(m) - 4*b(m). What is the derivative of r(q) wrt q?\nAnswer: -68*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 13\/((-91)\/56))*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d - 5. Let y(b) = -14*b + 3. Let g(j) = 5*p(j) + 8*y(j). What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 30*y. Let c be b(2). Suppose 0 = -4*k + 5*h + 13, -k + 0*k + 3*h = -5. Suppose -p + c = k*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7210 divided by 7.\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -23*w**3\/6 - 10*w**2 + w. Let f(p) = 8*p + 7. Let u = -16 + 30. Let m(c) = c + 3. Let t be m(u). Calculate t*f(y) + 6*s(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -517032.02 rounded to the nearest one hundred?\nAnswer: -517000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 835656?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3309*q - 32*q - 22773 = -2477*q + 52029 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946.9644kg to nanograms.\nAnswer: 946964400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 0. Let z be 4\/(-4)*g*-1. Find the second derivative of z*x - 3*x - 2*x + x**2 + x**2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-42)\/35))\/((-7950)\/(-141510)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 5, -7, -1, 3, 22 in increasing order.\nAnswer: -7, -4, -1, 3, 5, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 55370.\nAnswer: 332220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**8\/840 - s**6\/120 + s**3 + 1. Let b(a) be the third derivative of y(a). What is the third derivative of b(f) wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 + 7 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 + 2*t**2 - t - 2. Let l be 14\/(-1)*4\/8. Let q(m) = -3*m**2 + 13*m - 4. Suppose -x + 2*x = 2. Give l*n(i) + x*q(i).\nAnswer: i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x + 0 + 1\/3*x**3 - 2*x**2. Suppose 14*d + 24 = 80. Give s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -5 + 16\/7. Suppose -2\/7*x**2 + 0 + a*x = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.6 - -26.6. Suppose 0 = -j + 2*q + 23, -75 = -4*j + j + 4*q. Let n = -3500 - -3499. What is the third biggest value in j, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:02 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + y**2 + 1 + (-y + 26 - 26)*(5*y - 17*y - 9*y) to the form n*y**2 + j*y + t and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254 - -4?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(-1 + sqrt(847))**2 + (3 + (sqrt(343) - ((1*sqrt(343) - sqrt(343)) + sqrt(343))) - sqrt(343)) + 3.\nAnswer: -95*sqrt(7) + 3398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/21 - 46*q**3\/21 + 152*q**2\/7 - 6372*q. Factor m(d).\nAnswer: 4*(d - 19)*(d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, -2671, 90 in decreasing order.\nAnswer: 90, 3, -16, -2671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231458 divided by -19.\nAnswer: -12182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:56 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0291899 millennia to months.\nAnswer: 350.2788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/((-1040)\/(-24)) - (-225)\/(-1560). Which is the fifth smallest value? (a) -3 (b) 2\/3 (c) 15 (d) -1\/3 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/15 + 23004116*k\/15 + 66148669117682\/15 = 0. Calculate k.\nAnswer: -5751029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 3*z**5\/140 + 75*z**4\/28 - 156*z**3\/7 + 474*z**2\/7 + 3667*z. Suppose v(i) = 0. What is i?\nAnswer: -79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-5)\/(-4). Let v be -1 - -4*(u - -1). Suppose -3*b + 62 + v = 0. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:39 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3654 - 2190 = -10*y + 1146. List the prime factors of y.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfv when three letters picked without replacement from fvwvfffjvffvjpwwfff?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13127093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -113, -173, -235?\n\"Answer: -q**2 - 55*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -217 - (-2)\/(-12)*-3*0. Suppose -993 = 3*t - 345. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 12) to base 6.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 50*u**3 + 120*u**2 - 110*u + 35.\nAnswer: 5*(u - 7)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -5 (b) -3 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 8*b**2 + 8*b - 8. Let z be q(-9). Suppose 4*i - 7 - z = 0. Suppose -4*p - 7 = 13. Put -3, i, p in ascending order.\nAnswer: p, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491931?\nAnswer: 3, 11, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.054 (b) 0.4 (c) 63153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + n = 10, -36*q - 2 = -37*q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 4 = 3*d. What is the smallest common multiple of 7 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 29*k - 64*k = -22*k - 520, -4 = 14*d - 2*k + 76 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)\/(g*g**(-2\/15))*(g*g**(2\/3))**(-9))**39 assuming g is positive.\nAnswer: g**(-9347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1. Let k = -4 + 1. What is the biggest value in -1\/3, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-25))\/(2\/10). What is the common denominator of i + 0 + (-4466)\/(-1144) and 121\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9712 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2105*t - 2489 wrt t?\nAnswer: 2105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -192*h**3 + 2*h**2 - 6*h. Does 58 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 80*d**3 - 92*d**2 + 110*d + 10. Let h(z) = 8*z**3 - 9*z**2 + 11*z + 1. Determine -21*h(t) + 2*v(t).\nAnswer: -8*t**3 + 5*t**2 - 11*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, -1\/2, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 7*s**5\/60 - s**4\/8 - 2*s**3\/3 - 2. Let z(t) be the third derivative of i(t). Does 19 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 416, 487, 556, 623, 688?\n\"Answer: -d**2 + 74*d + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 42027*y = 84054*y - 42025*y + 9, 2*q + 37 = -3*q + 4*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*o, 3*o = -2*c - 2*c + 20. Suppose -5*y - o*t = -5*t - 175, 2*t + 10 = 0. Factor 4*b**4 - 36 + y*b + 4*b**4 - 44*b**3 + 44*b**2 + 26*b.\nAnswer: 4*(b - 3)**2*(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -17 - 7*v + 38 + v**2 - 20. What is the derivative of n(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-18)\/21) + (-4)\/8. Find the second derivative of -32*l - 45*l**3 - 55*l**3 + 94*l**v wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561459093?\nAnswer: 3, 13, 1201, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k + 20. Suppose 12*h - 27 + 3 = 0. Calculate the remainder when 35 is divided by (-7)\/(-2)*h - (k + 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*d - 3, 4*d + 0 = 2*y + 8. Let r(s) = d + 2*s + 2*s**2 + s**3 - 5*s + 0*s. Suppose -k - 5*w = 23, -3*k + 2*k + 17 = -5*w. Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20195 or -20193?\nAnswer: -20193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/42*4\/13.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 10:01 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*z + 749 = 3346, -j + 1294 = z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -969 - -978. Let s be (-16)\/6*(-3)\/2. Let g(y) = 2*y**2 + 4*y + 2. Let o be g(-2). Solve -z + 4*m - o*m + w = 0, -s*m - 20 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.275047 millennia?\nAnswer: 99300.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28300000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 665 + -666. What is the second biggest value in 2\/7, x, -1\/4, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 20. Let u be w(8). Suppose 13*g = u*g. Solve 2*t - 8 = -g*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315569971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -11*p**4\/5 + 170*p**3 + 2387*p**2\/5 + 1046*p\/5 - 96 = 0?\nAnswer: -2, -1, 3\/11, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3*i**3\/2 + 149*i**2\/2 + 42*i. Is s(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/20 - 11*w**4\/12 + 4*w**3 + 5*w**2\/2 + 2271*w. Determine x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 41 = 3*w + 5*g, 2*g - 10 = 0. Let t be 57\/21*1 + w\/28. Solve 0*b = -t*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 13 + 4*c**3 + 16 - 4*c - 5. Suppose 7 = -l + 1. Let d be i(l). What is d rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 4. Let s be t(9). Suppose 2*g - 3*h - 34 = h, -h - 14 = -g. Solve 2*w + 1 = -3*w - 4*x, -x + g = s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u + 48*u - 18*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22775.\nAnswer: 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 17}. What is prob of picking 2 z?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.47 - -0.87. Let z = -30.4 + 31. Which is the closest to 1? (a) y (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679256 is divided by 445.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 4*j + 2*j + 11. Let t(f) = -3*f - 10. Let m(g) = -3*k(g) - 4*t(g). Let n(y) = 11*y + 13. Let d(i) = 7*m(i) - 4*n(i). Differentiate d(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -22)\/(-24) + 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 10*g - 7. Let l be a(11). What is the third derivative of 0*j**4 - 4*j**l - 2*j**2 + 0*j**2 + 3*j**2 wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 236?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -892 - -897. Let a(f) be the second derivative of -1\/8*f**2 + 0*f**4 + 1\/12*f**3 + 6*f + 0 - 1\/40*f**p + 1\/120*f**6. Suppose a(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122.57 - -124. Let v = 0.47 + k. Let c = v - 1.8999984. Round c to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 12573?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 - 7*p**4\/24 - p**3\/2 - 8*p**2. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 475 (c) 2\/11 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:02 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = 39*a - 10. Suppose 5*m = 5, -a = 3*l + m - 21. What is the smallest common multiple of 115 and l?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12947 + 12970. Solve -6 = l*k + 40 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7 + 6 = -2*b, -4*b - 19 = 3*m. Let t(k) = -k**2 - k + 3. Let y be t(-2). Let f(l) = -2*l + y - 2*l + 0*l + 9*l. Give f(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10)**(-6\/31) assuming a is positive.\nAnswer: a**(-60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1728 and 26540352?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2260\/70 + -32 - 99\/420?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 6*r)*(-4530*r - 4876*r + 9845*r).\nAnswer: 2195*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*s - 103*s = 115 + 77 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -605.9751 + 606. Round w to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606433.\nAnswer: 1606433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2399 = -0*f + 3*f - 2357. Let o(z) = z**3 - 7*z**2 - 7*z + 1. Suppose a + 1 - 3 = 0. Let u(v) = -v**2 - v. Determine a*o(n) + f*u(n).\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -25. What is the third biggest value in h, 0.5, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be44 (base 15) to base 4.\nAnswer: -21312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 + 2*r - 2. Let m be t(1). Suppose m = 51*y - 85*y + 306. Solve 4*z = 4*l + 1 + 7, 0 = 3*z - 2*l - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*q + 684 + 1079 - 102 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {m: 1, x: 2, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 819852038 to the power of 1\/2, to the nearest integer?\nAnswer: 28633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*r**4 - 500610*r**3 - 550534*r**2 + 80112*r + 160160 = 0.\nAnswer: -5005, -4\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -14 + 21 - (-9 - -1 - (-11 - -10))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:43 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -6 (d) -10 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 2*k**3 + 4*k**3)*(4 + 9*k - 4) - k**4 + 0*k**2 + 0*k**2 to the form r + f*k + t*k**2 + y*k**3 + x*k**4 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 + 623. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32 + 27)*(26\/(-10) - -2). Solve -a*b - 9 = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m**2 - 3*m. Let w = -4 - -6. Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233262 - 56051. Suppose -4*o + 3*s = 1600003, -o - 4*s = 577207 - c. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ffa (base 16) to base 10.\nAnswer: -4090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -405.225 + 0.225. Let q = g - -404.544. Round q to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 4*d + 10*d**2 + 14*d**2 + 2 - 26*d**2 to the form z*d**4 + t*d**2 + w*d**3 + m + y*d and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*-2 + sqrt(117) + sqrt(117))*6) - sqrt(117) - (sqrt(117) + sqrt(117)*2)*2)\/((sqrt(432)*3)\/sqrt(12)).\nAnswer: -11*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400094 and 2008.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -45. Let i be (18\/k)\/((-2)\/(-20)). Let w = i + -15. Solve w = -2*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-15)\/27) - 4. Suppose 2*x + w*h - 963 = 0, -2*x + h = -4*x + 959. Calculate the remainder when x is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 25*l**3 - 40*l**2 + 20*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -1123317.\nAnswer: -22\/374439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -16\/19757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 5*a - 5, -68 = h - 5*a - 67 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 2*sqrt(114)*2) + -6*-2*sqrt(114))\/((sqrt(324)\/sqrt(81))\/(sqrt(6) - (1*sqrt(96) - sqrt(96)))).\nAnswer: 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/9)\/(5\/(-15)). Let x be 42\/g + 3\/15. Put x, -2, 5 in increasing order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/3 + 266152*r**2\/3 + 1330718*r\/3 + 354856 = 0 for r.\nAnswer: -133071, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus -645802805?\nAnswer: -645802804.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 + 23 = 0. Suppose -4*a = -x - 11. Suppose 78 = a*v - v. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let s(w) = -4*w - 7. Let y(g) = -s(g) - 6*x(g). Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 18*a**2 + 6*a + 7. What is k(3)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = -f, -2*g + 4*f + 1178 = 0. What is the common denominator of 4\/20 - 3\/((-585)\/g) and (-2)\/8 - 1074\/(-360)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 + 1321\/7. Let l = -3 + 3. Let c be 48\/(-60)*10\/4. What is the closest to l in -1\/3, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and -90071.\nAnswer: 9907810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0982 + -1.408. Let z = -0.31 - j. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46438 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 202 - (765 - 694)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.8 and 0.1622.\nAnswer: 4.50916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 2 b when four letters picked without replacement from {q: 2, b: 3, m: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12461483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22161696 times -0.09\nAnswer: -1994552.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-15)*(-6)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.6. Let x = -3.04 - 0.96. What is the closest to x in -0.1, p, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 23*x + 2. Give m(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, p: 1, c: 3, b: 1, g: 1}. Give prob of sequence bpc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 2\/3 (b) 1 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-5 - (-5 + (28 - 8)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816*4*1\/6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 248087\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/309749 and -7\/225272.\nAnswer: 2477992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.73924 to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364*y = -1370*y + 180. Suppose -y*w = -27*w - 1494. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-70)*(-112)\/(-32). Let y = 23 + -18. Let k = 0 + -12. Which is the third biggest value? (a) k (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270007484 to the power of 1\/2, to the nearest integer?\nAnswer: 35637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4847, 1247, -2353, -5953?\n\"Answer: -3600*z + 8447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r\/(r*r*r**0*r)*r)\/r)*r)*r*r**(-2\/11))\/(r**(-2\/5))**(-3\/5))\/(r\/r**(-4)*r\/r**(-9))**(3\/11) assuming r is positive.\nAnswer: r**(-1516\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 197 = 5*p - 67 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103722 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 7*n + 10. Let z be m(-10). Suppose z = -2*p + 3*p. Suppose -4*x = v - 193, 0*x + p = 5*x + v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12446 and 117856?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 115 = -5*g + 7*k, 4*g = 4*k + 96. Let z = g - 16. Solve z*s + 4 - 10 = 0, 2*t - 3*s = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + (sqrt(204)*-1*3 - sqrt(204)) + sqrt(204))\/(-1*(sqrt(12) + sqrt(48))) - 3*2*(sqrt(612) + -2).\nAnswer: -107*sqrt(17)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-6)\/6)*-8. Solve a*c = -4*h, 7 = -c - 3*h - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65498884.\nAnswer: 2, 11, 53, 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(2*3\/(-18)). Suppose 9*w = 26 + a. Suppose 0 = 10*p - w*p - 28. Solve -3*o - 2 - p = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.795545ng?\nAnswer: 0.000000000000000795545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -62, -132, -262, -470, -774?\n\"Answer: -3*c**3 - 3*c**2 + 2*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 4786851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 4 - 5 + 8 - 5*c. Give v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204040431 (base 5) to base 8\nAnswer: 12533603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + 2*w**2 - 2*w + 1. Let g be y(1). Let i = g + 3. Suppose i*v + 0 - 1\/4*v**2 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 1743?\nAnswer: 19173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + 8*g - 7. Let b be h(4). What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t + 14*t + 2 - 3*t**2 - 2 + t**3 in the form p*t**3 + m*t**2 + l*t + q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204.6 - 45.4. Let c = k - -253.992. Let r = 4 - c. Round r to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211495 divided by 42299?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 482.\nAnswer: 5\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*w**3 + 954*w**3 - 512*w**3.\nAnswer: -41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c69bc - 345?\nAnswer: -c6d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by 3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*b = 1584, g + 0*g - b = -1575. Suppose -13*t + 22170 = -10291. Let l = g + t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231608434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -792042\nAnswer: -47522.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/120 - l**5\/4 - 11*l**4\/24 - 29*l**3\/6 - 3575*l**2. What is t(16)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12051 = -4*x - 5*r, -2*x + 1591 = 5*r - 4422. Is x bigger than 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75.2296 and -4.4.\nAnswer: -331.01024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -66, -99, -134?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -13. Suppose 2*q - 5*q = -g. Suppose 2*a = a + 17. Calculate the remainder when a is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y + 24. Put -7, 4, y in descending order.\nAnswer: 4, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o + 12. Let j be u(-6). Let a = 72 - 67. Calculate the least common multiple of a and ((-30)\/4)\/(j\/112).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 + 130. Which is the smallest value? (a) 3\/5 (b) -0.2 (c) -0.04 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 18.6. Which is the biggest value? (a) h (b) 0 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628447 = -9*k + 72*k - 2784622. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611 times 207755?\nAnswer: -334693305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-30) + -1 + 51\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -471 + 476. Solve 9*u = w*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -382.6.\nAnswer: 153.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*q - 13 = 3*q, -2*q = d. Let a = -1 - -5. Suppose 20 = a*n, -d*i + 25 = n - 2*n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24422*h - 19 = -24425*h - x, -2*h = -3*x + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v*v**(1\/9))\/v)*v*v)\/v*v)**16)**(4\/11) assuming v is positive.\nAnswer: v**(1088\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 23*a + 63 = 0. Let u be (-147)\/(-18) + 1\/(-6). Solve u + 17 = -a*x - 2*f, -2*x + 2*f = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (0 + 10)) + (1 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(0 + -1)*(-8)\/12. Suppose -7 = -m - i. Suppose 5*z - 40 = -m. Is z > 27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x - 7*x + x + 25*x - 7*x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -11. Let l = 5 + s. Suppose 2*g - 5 + 3 = 0. Which is the closest to g? (a) l (b) -4\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:01 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from ooqqqqooqo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Let f = -21699 - -21697. Let b(k) = -3*k - 8. Give f*o(c) - b(c).\nAnswer: c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 less than or equal to 0.919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 961726301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.173422 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.927 + 6.35. Let l = b - 0.223. Put l, -0.01, 2\/7 in ascending order.\nAnswer: -0.01, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1646128 divided by 47.\nAnswer: -35024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9775 is divided by 1297.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.127 - 0.803. Let u = 9.36 + -9.43. Let v = h + u. Which is the nearest to v? (a) -3\/7 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1 - 4 - 3 + 4. Let w(a) = -3. Let v(j) = 5*n(j) - 6*w(j). Let h(i) = i. Let u be (-62)\/(-93) - (-16)\/(-6). What is u*h(g) + v(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -6*b + b + 44, 3*o + 5*b = 112. Suppose y + 17 = o. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.37 + -0.03. Let i = 1\/7 + -9\/14. What is the closest to 0 in r, -3, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:34 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 6, t: 2, x: 6, o: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -62, -43, 3, -0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-2142) + 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1045*b**2 - b**3 - 410*b**6 - 104*b**2 + 1337*b**6 wrt b?\nAnswer: 111240*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 + -113. Sort -16, -1\/2, s in ascending order.\nAnswer: -16, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 140?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sesessssss.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5261 = -2*y, 4*q - 21068 = 6*y - 4*y. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 = 3*a, 0 = -4*a - 2*x + 16 + 8. Let b(i) be the third derivative of i**6\/120 - i**5\/10 + i**4\/6 + 7*i**3\/6 + i**2. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**5 - 5*l**4 - 2*l**2 - 5*l. Let d(t) = -2*t**5 - 8*t**4 - 3*t**2 - 8*t. Let a(o) = 5*d(o) - 8*v(o). What is the third derivative of a(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/2 + 4749*x**2 - 6404919*x\/2 - 6423903 = 0. What is x?\nAnswer: -3737, -2, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 7*l**2 + 9*l - 5. Let r be w(8). Suppose -8*i - 44 = -12*i. Solve 4 + i = r*z + 4*v, -2*v = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(175) + sqrt(175)))**2 + 1 - (sqrt(175) - (sqrt(175)*1 + -1))**2*-3.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3028, -6146, -9266, -12388?\n\"Answer: -j**2 - 3115*j + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 138011675514+-4\nAnswer: 138011675510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388503160 rounded to the nearest 1000000?\nAnswer: 3389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 4*m**3 + 3*m**3)*(-3 + 1 - m**2 + 0*m**2) + (-4*m**2 - 4*m**2 + 6*m**2)*(-4*m**3 + m**3 + 6*m**3).\nAnswer: -8*m**5 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*f**2 - 226365*f + 226365*f in the form j*f + p + b*f**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2132 + 5307?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(64)*2*1 - (sqrt(64) - sqrt(64)*-2*-2))\/(6*(sqrt(16) + sqrt(400) + sqrt(16))\/sqrt(2)) + 0)**2.\nAnswer: 491\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**2\/i)*i**(-26)*i*i*(i**(-2))**(-12) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwi when three letters picked without replacement from {p: 2, i: 2, w: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247.1 - 246.7. What is the fourth biggest value in -5, k, 1\/37, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j + 6*j + 3*j in the form q*j + o and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 10*r - 72. Let p be (1\/(-2))\/(1\/(-108)). Let t be 2\/12 - (-5175)\/p. What is the greatest common divisor of t and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309256 - -309258. Suppose -1\/3*o + 8\/3 - 7\/3*o**y = 0. What is o?\nAnswer: -8\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 2*d + 10. Let m be z(5). Sort 5, m, -1 in increasing order.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxmrzrrrpmrzrrxzpx. What is prob of sequence dr?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 733 - 481 = -3*m. Solve -2*y = 5*r + m, -15*y - 2*r - 9 = -14*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101458273?\nAnswer: 7, 1427, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -0.2 (b) -3\/11 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349223 is divided by 4862?\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 t when three letters picked without replacement from tewttwdtot?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-7)\/42). Suppose -6 = -g*c - 18. Suppose -3*k + 4*q = 8*q + 6, -k + 2*q = 2. Is c equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563237 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/183 (b) -3\/5 (c) -8\/11 (d) -63 (e) -3\/2 (f) 2 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(4\/(224\/(-12))). Let q be ((-16)\/y)\/(38\/14 + -3). Solve -5*i + 3*n + q = -n, -4*i + 2*n + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a factor of 2232369296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 50*n + 1852. Let l be a(-37). Solve -3*h + l*h - 2*z = -9, 3*h = -z + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3766?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 2*h**2 + 0*h**2 + 3*h**2 - 181*h + 90*h + 2*h**2 + 93*h + (4*h - 3*h - 4*h)*(-3*h + 1 - 1).\nAnswer: 12*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3956565 and 29223?\nAnswer: 201784815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 509054.8ug in nanograms?\nAnswer: 509054800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**2*u**2*v + 124*m**2*v**2 - m*u**2*v**2 - 2*m*v + 73*u**2*v wrt v?\nAnswer: 248*m**2 - 2*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -4\/15*h**6 - 2*h**3 - 5*h + 0*h**4 + 0*h**5 + 0*h**2 + 0. Find the second derivative of b(t) wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004903622369 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -15*n + 9*n. What is the second derivative of -3163*v**2 - 3 + 4*v - 11*v**4 + 3163*v**n wrt v?\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o**3 + 30*o**2 + 26*o + 62. Suppose 0 = -4*f - 40 + 12. Let a(k) = -3*k**3 - 10*k**2 - 9*k - 21. Let j(q) = f*a(q) - 2*r(q). Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a + 7. Let i = -4 - -14. Is g(i) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 2)*3\/(-12)*-433. Let h = -1759\/4 - c. Find the common denominator of h and 33\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 6164?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(468) - sqrt(468) - ((2*sqrt(468) - sqrt(468) - sqrt(468))*4 - sqrt(468)))\/(((sqrt(484) - -1*-1*sqrt(484)) + sqrt(484))*6))**2.\nAnswer: 117\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 11*u - 12. Let b(s) = 2*s - 3. Calculate the remainder when 5 is divided by b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38164, 38117, 38032, 37903, 37724?\nAnswer: 37489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 + 12*l**2 + 39*l + 28 = 0. Calculate l.\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101.17 + -48.074. Let i = a - 0.096. Let b = 52.941 - i. What is b rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f*f**(-2\/7))\/(f\/((f*f*f**(1\/2)*f)\/f))**(4\/15) assuming f is positive.\nAnswer: f**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 86*q + 89. Let x be i(42). Let n(v) = 7*v**2 - 8*v + 11. Let g(p) = 6*p**2 - 8*p + 10. Let c(m) = 6*g(m) - 5*n(m). Calculate c(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2851874778\nAnswer: -2851874777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 - 8?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o - 1. Let h(g) = -5*g**2 + 17*g + 2. Suppose 5*m + 3*u - 1 = 0, -5*m + 22*u - 24*u = 1. What is m*h(s) - 4*v(s)?\nAnswer: s**2 - 21*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(12)\/sqrt(6))*5.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b + 12. Suppose b = -j + 3*j. Suppose 246*a + 153*a = 356 + 442. Solve -h + j*h = -2*v + 31, h + 1 = a*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 0, 53, 2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103118129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(-2 + 41\/21). Let k = y + -2. Suppose -i = 2, 3*c - i = k*c - 10. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 10. Suppose -z*x + 234 = -82. Let k = x - 84. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1355975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**3 - 1\/80*c**6 - 1\/40*c**5 - 1\/48*c**4 - 1\/420*c**7 + 6*c**2 + 0*c + 0. Factor u(l).\nAnswer: -l*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*l**2 - 1 + (-3*l + 2*l + 0*l)*(1 - 3*l - 1) - l**2 - l**2 - 2*l**2 in the form c*l**2 + j + u*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 208. Let k be (0 - 2\/c)\/((-14)\/140). Solve -3*y = -t - 20, -t = -k*y + 2*t + 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 246 - i + 247)*(6 - 2 - 1)*(-54 + 0 + 20).\nAnswer: 510*i - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -131, 2 in descending order.\nAnswer: 23, 2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20977 - 20977.3. Let z = -17 + 19.4. Let d = z + -2. Which is the second smallest value? (a) j (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47847633 at least as big as 47847620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99097, 94430, 89775, 85138, 80525, 75942, 71395, 66890?\nAnswer: 62433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*g - 2 + 1, 0 = 5*g + h - 15. Suppose d = 19 - g. Let s = -8 - -10. Solve s*p - 10 = 0, 2*a - 5*p + d = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-3) - 2\/(-3). Suppose -b - 2895 = -p*b. Let j = 2136 - b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 29*n - 16. Let i be d(-23). Let a = -118 + i. Solve 5*r = 4*r + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5707693, 5707749, 5707805, 5707861, 5707917, 5707973?\nAnswer: 5708029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 2700 = 19*g. Let b = g + -233. Is b a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21719494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444978745 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2110794 weeks to hours.\nAnswer: 35.4613392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*p = 95*p + 1092 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**0))\/(t\/(t*t**(-1)*t)*t))**22*(t*t**(-6\/7))\/(t\/t**(1\/2))*(t**(-1))**(4\/5) assuming t is positive.\nAnswer: t**(-1621\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e5cd + 3?\nAnswer: -13e5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1207144 * 68\nAnswer: 82085792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 15) to base 13.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 899 - -12\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5219 + -4317. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330.3 + 330. Let k = 0.07 - 0.07. What is the fourth smallest value in i, k, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from {h: 2, q: 1, k: 2, p: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 1800 - 2088. What is the highest common factor of 81 and v?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -139 + 194 - (-1 - -34).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.183\nAnswer: -0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7d70 (base 16) to base 12\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-4 - -3 - 12) + 23).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 14913332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2385 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let u = 471.2 - 612. Let i = 141 + u. Sort i, 0.1, q in descending order.\nAnswer: i, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*r - 10*r - 102*r**2 + 3*r + 26*r**2 wrt r.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 92 = 31*f. Let r = f + 24. Sort -1, r, 6 in descending order.\nAnswer: 6, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/5 + 424*k\/5 - 10212\/5.\nAnswer: -4*(k - 69)*(k - 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 45005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 0, -5, 6, 2.\nAnswer: -303, -5, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in -1\/4, -1, 11312?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 6. Let j be o(6). Is 83 - (-2 - j) - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42, -42, -22, 6, 30, 38, 18?\n\"Answer: -2*i**3 + 22*i**2 - 52*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**2 + 4. Let a(s) = -354*s**2 + 355*s**2 - 3 + 3. Determine a(f(k)).\nAnswer: 144*k**4 + 96*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*n - 2 + 0*n + n - 2*n + (3*n - 4*n + 3*n)*(1 - 2 + 3) - 2*n + 25*n + 2*n)*(9*n + n**3 - 9*n).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 1\/3, -0.5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/3 - 218*a**4\/3 - 284*a**3 - 1268*a**2\/3 - 842*a\/3 - 70.\nAnswer: -2*(a + 1)**4*(a + 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 - g**4\/12 - 7*g**3\/6 - 2*g**2. Let m be a(5). Solve -4*t + 4*k + m = 0, -t + 6 = -k - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**3\/3 + 6. Let r(m) = m**2. Calculate b(r(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -9*z. Let k = z + 16. What is the highest common factor of k and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 57*b + 57*b)*(4 - 6 + 3) - b**2 + b**2 - 2*b**3 + (4*b - 2*b**2 - 4*b)*(2*b + b - b) - 3*b**3 - b**3 + 6*b**3 + 1 - 1 + 3*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1182 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 - 3*a**2\/2 + 46. Suppose -2*q + 12 = 2. Calculate the least common multiple of r(q) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 3) to base 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -24. Suppose -d + 55 = o*d. Let l = -11 + d. Is 3\/5 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + f - 3*f**2 + 2 + 0 - f**3. Calculate the remainder when 10 is divided by y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007129 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {t: 2, s: 2, z: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:42 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2845 and 35565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16)*8*(-1)\/7. Let j be 8\/70*40\/16. Suppose k*r**3 - 2\/7*r + 2\/7 - j*r**2 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -19*s**2\/2 + 23*s - 7. What is the derivative of k(j) wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j - 2. Let z be g(2). Let n = 471.96 - 464. Let p = -8 + n. Which is the nearest to z? (a) 0.1 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 + 18*h - 2. Let q(f) = 6*f**2 - 12*f + 0 + f**2 + 1. Let n(l) = -7*q(l) - 5*y(l). Suppose 2*p - 4 - 6 = 0. Calculate n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13617 + 13664 - 9381*d - 27280.\nAnswer: -9381*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 15. Calculate the greatest common factor of n and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -43*f + 28. Let c be q(-8). Suppose -c = -4*w + 2*s + 2*s, 4*s - 447 = -5*w. Is w a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 176*x**2 - 16*x + 704.\nAnswer: 4*(x - 44)*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b71b373 - -2?\nAnswer: -b71b371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**3 - 419*v**2 - 5*v + 14632 wrt v.\nAnswer: -6*v**2 - 838*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 2, n: 1, i: 8, w: 3, p: 1}. Give prob of picking 2 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 22, -4\/5 in ascending order.\nAnswer: -4\/5, -0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let x be (-112)\/(-63) - 4\/(-18). Let q be (x\/(-3))\/((-2)\/(-3)). What is the third biggest value in -2\/3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + 1\/(-6). What is the smallest value in -3\/5, -0.1, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 21 - 0) + 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3)*g**(3\/5))**(-42)\/((g**(1\/2))**(-2))**(-12) assuming g is positive.\nAnswer: g**(-326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -266 + 420. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14784 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/350*(-1095)\/6)\/((-24)\/(-224)*7)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3.2, -183 in decreasing order.\nAnswer: 3.2, -2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drjiiriiiijidrhrljhr. What is prob of picking 3 j and 1 r?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63964, 63987, 64012, 64039?\nAnswer: 64068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217889 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*k = 3*t + 75, 5*k - 127 = -4*t. What is the greatest common factor of 224 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3\/9 - 892*b**2\/9 - 12821*b\/3 + 2600 = 0 for b.\nAnswer: -104, -75, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - (-1 + 9 + -3)) + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**5 - 6859\/5 + 2527*h - 11*h**4 - 950*h**2 - 194*h**3.\nAnswer: -(h - 1)**2*(h + 19)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000000011100 (base 2) in base 8?\nAnswer: -70034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*a - 1365*a = -982700. Does 76 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -358*b**3 - 8*b**2 + 6*b + 31. Is g(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhyy when four letters picked without replacement from {h: 1, y: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose -n*c**2 - 5\/2*c - 1\/2*c**5 - 5\/2*c**4 - 5*c**3 - 1\/2 = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 7:15 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/31 (b) -23\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 117*t**2 + 2434*t - 498. Determine w(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let w be -1 + (4 - b) + 0. Suppose w*h + h = 0. Solve 0 = -0*s + s + 4*k - 12, h = 2*s + 4*k - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25 + 7)*2\/(-9) + (-99)\/(-1). Solve -137 - z = -40*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484998948 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 1980?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + k - 77 = 0, 0 = -a + 4*a + 5*k - 223. Let b = a + -14. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.26, -4\/9, -1\/9, -39.9, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2292.994407 - -2293. Round v to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 7604*x**4 - 1557678*x**3 - 4604552*x**2 + 30440*x + 6139392 = 0. Calculate x.\nAnswer: -192, -2, 1, 3997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9666265 and 39\/140?\nAnswer: 38665060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 30*y**2 - 54*y + 26 = 0?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111201012101101 + 2?\nAnswer: -111201012101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1051*m + 4653. What is k(6)?\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 29 + 5*k)*(191 - 379 + 188 - 506*k**2) to the form z*k**2 + o*k + q + h*k**3 and give h.\nAnswer: -2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, 14, 201 in ascending order.\nAnswer: -24, 3, 14, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17572 - -29960. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/12*(-29)\/((-29)\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 13*a + 2. Let b be r(11). Let t = 24 - b. Sort t, 1, 3 in increasing order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggddgggggtggdg. What is prob of sequence gt?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339*a = -1348*a - 81 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -585 + 385. What is the common denominator of 36\/5 and (1\/(-2))\/((-9)\/((-1170)\/c))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 4505?\nAnswer: 4462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 5. Let o be k(0). Suppose o*i - 9 = 2*i. Suppose -z - 3*n = 13, z + 21 = 4*z - i*n. Let j(q) = -3*q. Determine j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 831, -2\/11 in decreasing order.\nAnswer: 831, -2\/11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyyy when four letters picked without replacement from ccycccccccycccyccycc.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41960)\/(-31470)*(-3)\/70?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o**2 - 2*o. Calculate b(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 19 = 9*p. Suppose 0 = 5*j - p, 3*l = 6*j - 3*j - 3549. What is l rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 22 + -16 + 12 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 4:25 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:05 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 - 555. Suppose -898 - 1622 = -8*k. Let s = q + k. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/60)\/((-15)\/48). Let x(k) be the first derivative of -4 + 7\/12*k**4 - h*k**5 - 2\/9*k**3 + 0*k - 1\/6*k**2. Factor x(o).\nAnswer: -o*(o - 1)**2*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*n - 5*n - 20, 0 = 5*n - 3*s + 36. Let i be (-4)\/((-8)\/n) - 1. Let o(x) = 8*x**2 + 2*x + 1. Is o(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y + 3. Let k be d(3). Let s be -2*15\/24*4. Let j = -5 - s. Sort 1, j, k in decreasing order.\nAnswer: k, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let g(x) = -x**2 - x + 16978*x**3 + 4 + 4 - 16979*x**3 - 5. Let j(n) = -n**3 - n**2 + 1. Determine s*g(v) + 3*j(v).\nAnswer: -2*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 436.3575 nanograms?\nAnswer: 0.4363575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 13*q - 6. Let v(x) be the second derivative of x**4\/12 + 2*x**3\/3 - x**2 - 12*x. Determine -2*p(u) + 7*v(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29812392 divided by 36.\nAnswer: 828122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 + 10 = 0. Let k = -278 + 281. Let n be (24\/(-4) + k)*1. Sort n, y, -4 in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -299 in -15, -91, -2\/3, 0, -5?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -36, 4.\nAnswer: -36, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a)\/(a*a*a*a**(-3)*a)*a**(-4\/3)*a\/a**6 assuming a is positive.\nAnswer: a**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:57 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -216*p + 3268. Give d(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**6 - 67407*k**5 + 45*k**3 - 709*k**2 - 2634*k - 5?\nAnswer: -360*k**3 - 4044420*k**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172899012 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose 16 = -r*k - 4*k. Let q(o) = -o**2 - 2*o + 5. Determine q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 11:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 3*p)*(p - 5*p + 0*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827070 is divided by 228382.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(40\/(-6)))\/(1116\/(-45) + 25). What is the nearest to 18 in 0.5, v, 5, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58273 and 12268?\nAnswer: 233092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 244 + 156. Which is the smallest value? (a) -22.6 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 - -292. Suppose 12753 = 34*p + m*p. Does 44 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13482480, -13482465, -13482450, -13482435, -13482420, -13482405?\nAnswer: -13482390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(1980) - (sqrt(1980) + (sqrt(1980) - 3*sqrt(1980)))))\/(sqrt(11) - sqrt(22)\/sqrt(2)*5).\nAnswer: 11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 64058941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*z - z**4 - 24*z - 23*z - 31*z - 2*z**3 - 9 + z**2 in the form q*z**4 + i*z**3 + u*z**2 + b + r*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-9)\/(-6) + -1). Let v = -0.9 + 1. Which is the closest to x? (a) v (b) -1\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8276191183 to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -26652*m**2 + 13301*m**2 + 13352*m**2. Let f(l) be the first derivative of -79*l**3\/3 - 1. Determine v(f(q)).\nAnswer: 6241*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c*n**3*v - 2*c*n**2*v - 21*n**3*v**2 - 17*n**2*v + 5*v**2 wrt n?\nAnswer: 48*c*v - 126*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*n - 3*n - 2*n**4 + 1 - 6*n)*(7 - 2 - 4) to p*n**2 + h*n + b*n**4 + m*n**3 + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4 = -6*y. Suppose -q = -y*q - 18. What is the units digit of (8 - 12)\/(4\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qbzqiqzbzbbqbzqbqi?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let t(k) = -6382545*k. Give t(c(p)).\nAnswer: 12765090*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072*l = -1066*l - 3420. What are the prime factors of l?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 46*o. Let v(f) = -32*f**2. Determine v(s(d)).\nAnswer: -67712*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 558 + 14 = 0. Differentiate 11965*z + 91*z**4 - l - 11965*z with respect to z.\nAnswer: 364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 389, 1314, 3119, 6098, 10545?\nAnswer: 16754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5 - 2127*p**4 - 32094*p**3 - 77252*p**2 + 299880*p = 0.\nAnswer: -10, -7, 0, 2, 2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*j + 15*j + 2614*j + 18566 = 68654 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.060632\nAnswer: -0.848848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*u + 178*u + 0 + 14.\nAnswer: 5*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 982 and 283307?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6863194719.414 - 0.2.\nAnswer: 6863194719.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -3343.\nAnswer: 8\/3343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 6004575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 404\/11 - 13854\/385. Find the common denominator of w and -22\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c + 90*c = 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35971527*y - 93978423 wrt y?\nAnswer: 35971527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1.3, -24, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 3957899.\nAnswer: -39578990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 86. Let b(s) = 142*s - 8677. Let z be b(61). What is h(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/9*(-3)\/5. Let v be y\/(5\/50*-4). Let a(w) = -4*w - 17. Let q(j) = 10*j + 42. Let z(o) = -12*a(o) - 5*q(o). Calculate z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 33745552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44223, 88322, 132421, 176520, 220619?\n\"Answer: 44099*m + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24762, 12253, -8594, -37779, -75302?\n\"Answer: -4169*p**2 - 2*p + 28933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0*o)**(3\/4) assuming o is positive.\nAnswer: o**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 19. Let a be i(-9). Suppose -a = -5*j + 4*j. Suppose 21 = f - 0*n + 4*n, f + 2*n = 17. What is the greatest common divisor of f and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469668 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -3*p - p. Suppose 5*n - o = -10, 0 = 2*n - 0*n + 4*o + 4. Is (-35)\/n*p\/(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:14 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -368, 1277, -1 in ascending order.\nAnswer: -368, -1, 24, 1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 759\/(-3197) - 2\/2. Let t = n + 21821\/22240. What is the common denominator of t and -13\/10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2055.6 - 1850. Let r = -206 + m. Sort -1.6, r, -0.5 in descending order.\nAnswer: r, -0.5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 262731144*m - 5752304502295728.\nAnswer: -3*(m - 43788524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/((-1)\/2*4). Suppose m + 10 = -4*z. Sort 2, z, 0.\nAnswer: z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 122678*m. Let k(f) = -4*f**2. Give h(k(i)).\nAnswer: -490712*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = t + 2*p, t - 4*p = -673 + 135. Let d = t + 517. What is the nearest to -1 in 3\/4, -0.4, -9, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/(14\/10). Let i = -2.93 + 3. Let g = -5.07 + i. Which is the biggest value? (a) g (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 14 - 0. Suppose 3*c + 2*d = n, 4*d = -3 + 7. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 < 724\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*v = 17, 5*d - 3*v + v = 20. Let k(a) = 0 + 18*a - 9*a - 7*a - 1 - 2*a + a. Let p(b) = -b + 4. Determine d*k(l) + p(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2189190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/6 - 3*m - 9. Let u(a) be the first derivative of l(a). Let f(z) = -z**2. Calculate u(f(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -19*d**4\/12 - 40*d - 8. Let h(a) = -34*a**2 + 0*a**2 + 16*a**2. What is b(h(k))?\nAnswer: -6156*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**2 - 7866*t - 7960. Let m(h) = -4*h**2 - 2621*h - 2656. Let o(s) = 3*i(s) - 8*m(s). Solve o(j) = 0.\nAnswer: -1, 1316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(10*t**3 + 3*t**3 - 4*t**3) + 8613*t + 523*t**3 - 8613*t.\nAnswer: 478*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713816553.\nAnswer: 3, 17, 13996403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(390\/126 - 3). Let l = -3 + 2.8. Let p = l - -0.2. What is the closest to p in -4\/5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1182*z**5 - 3*z**3 + 630*z**2 - 8*z wrt z?\nAnswer: 70920*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -1, 2157, 45, -3 in decreasing order.\nAnswer: 2157, 45, -1, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 + 76*p**4\/3 + 281*p**3 + 1454*p**2\/3 + 688*p\/3 = 0. What is p?\nAnswer: -8, -1, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12885899*b**3 - 12885829*b**3 + 25772002*b**3.\nAnswer: 274*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = 35*u - 7*u - 2640544. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s - 5*t = -13, 0 = -4*s - 4*t + 4. Let f(i) = i**2 + i + 3. Let n be f(s). What is the highest common divisor of 75 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 10, 13 in decreasing order.\nAnswer: 13, 10, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u + 37*u + 239*u - 64*u - 281*u + 35*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v - 4*v + 5*v)*(-230*v**2 + 32*v**2 - 130*v**2).\nAnswer: 3280*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -g - 44, -5*g = -1 - 4. Let l(n) = 2*n**2 - 1. Let f be l(2). Let c = a + f. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.552067 hours?\nAnswer: 34387.4412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -10*a - 0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -19*u - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15120 divided by -30.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3632\/10)\/(72\/9 - (-2476)\/(-310)).\nAnswer: 2, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 627714.4 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:22 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 13474*x**2\/11 - 26956*x\/11.\nAnswer: 2*x*(x - 2)*(x + 6739)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127425, 262373, 397321, 532269?\nAnswer: 667217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2426010*i**2 + 218091 wrt i.\nAnswer: 4852020*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11770*d**4 + 4*d**3 - 165*d + 445 wrt d.\nAnswer: 141240*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3632\/143 (b) 0 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-197)\/((-1314778)\/1880)*(-1)\/(-10).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 23. Suppose 9*o = f*o. Let h(c) = -c**3 - c**2 + 2*c + 79. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-14))\/((-14)\/(-49)). Let m = d + -6. List the prime factors of (8 + m)*(-4)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1540*b**2 + 542*b**2 + 549*b**2 + 454*b**2 + 6.\nAnswer: 5*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36632677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 18 - 7*z**2 + 6*z**2 - 16. Give r(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2200683995 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10000101?\nAnswer: -10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.329 - 0.3641. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 53989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -18*m + 31. List the prime factors of c(-10).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 - 2*w - 7. Let d be m(-4). What is the common denominator of 73\/99 and (12\/d)\/(2028\/320 + -6)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4 = 2*t + 2, 4*w = -5*t + 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 67. Differentiate -o*b - 10*b + 22*b + 13 wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 5*c**2 + 4*c + 7. Let a be j(6). Let n be (-27)\/a*(3 - -2). Let y = n - -9. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - 3.42. Let c = -0.7 + u. Let q = c - -4.30048. What is q rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/72 - ((-15)\/(-27))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 2*o + 0*o)*(8*o**2 + 12*o**2 + 4*o**2) to the form x*o**2 + u*o + f + j*o**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -512*c. Let v(w) = 33*w**2. Calculate b(v(x)).\nAnswer: -16896*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -9)*(1 - 22). Let k be 6\/f*(2 - 3). Let s = 0.094 - 0.094. Which is the third smallest value? (a) s (b) k (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 656509\/5 + -131301. Let y = -5\/78 - 4\/39. Which is the nearest to y? (a) -1 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-946)\/33)\/(-43))\/(-1 + (-9907)\/(-9906)) is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7333954541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 48. Let q(n) = n + 11. What is 6*k(l) - 26*q(l)?\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 = -4216*t + 2087*t + 2055*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 80693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6473260 to the nearest 10000.\nAnswer: 6470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-15) - (-418)\/110. Let n(h) = 9*h - 3. Calculate n(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*n = 163*n + 243. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:14 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 509 - 509 - b - 53*b**2 + (-2*b + b**2 + 2*b)*(-1 - 4 + 3).\nAnswer: -55*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 1392, 1747, 2132, 2553?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 210360*l + 6314400.\nAnswer: -4*(l - 30)*(l + 52620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302707861 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.4 - 10.39785. Round d to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y*y**5*y*y**1\/(y*y*(y*y*(y**(-5\/2)\/y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1114656 + -633425. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 - 28714*o**3 - 459832*o**2 - 1494696*o - 1379808 = 0 for o.\nAnswer: -12, -2, 14373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (120 + -94)) + 109 + 3.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccclccccccccccccc. Give prob of sequence lcc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011862 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*v + 338, q - 12 = -2*q. Let s = v + 370. What are the prime factors of s?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**3 + 74*k**2 - 179*k - 240. Let i(h) = -19*h**3 - 110*h**2 + 269*h + 360. Let x(q) = -7*f(q) - 5*i(q). Factor x(z).\nAnswer: 4*(z - 3)*(z + 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0079 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15152323.\nAnswer: 71, 101, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1709*x - 12*x**2 + 12*x**2 + 22*x**2 - 1711*x. Let u(j) = -3*j. What is z(u(q))?\nAnswer: 198*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*t - 3*t, a + 2*t + 8 = 0. Let h = 17 - a. Let c = -17 + h. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*r + 31 = m, 10 = 5*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/(-16) + (-1)\/(-4). Let x = -94 - -103. Calculate the greatest common factor of x and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:51 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4\/5 (b) -0.01 (c) 1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62886622?\nAnswer: 2, 1097, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*x + 3*x, 4*x + 19 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/32*((-40)\/30)\/(-1))\/((-26)\/(-6)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 43*n**3 - 17*n**3 - 11*n**3 - 13*n**3.\nAnswer: 2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17102*q - 1607611. What is n(94)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16247 is divided by 13577?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 30 + -16 + -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156761 is divided by 2496?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2555.78 nanograms?\nAnswer: 0.00000000255578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**5\/240 - 5*t**4\/96 + t**3\/4 - 17*t**2 - 15. Let o(r) be the second derivative of d(r). Factor o(f).\nAnswer: -(f - 1)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - (-3 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30311?\nAnswer: 17, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:40 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*15\/(-50)*285\/(-18) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let w be (15 + (-1540)\/98)*(-14)\/12. Let m(c) be the second derivative of 0 + 0*c**3 - 15*c - w*c**4 + 0*c**2. Calculate m(p(k)).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 + 3*s + 1 - 3. Let i be (-3 - -3)\/((-1)\/(-1)). Let g(x) = x + 1. Let y be g(i). What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10166.0917 rounded to the nearest integer?\nAnswer: -10166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31 and -4509153056.\nAnswer: -4509153087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 0.2. Let m = o + -1.5. Let s = -6.9 + 7. What is the closest to s in -3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*d**6 + 431*d**5 - 2*d**4 + 19*d**2 + 3*d + 41.\nAnswer: 6120*d**3 + 25860*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/240 - 5*r**4\/24 + 25*r**3\/8 - 516*r**2. Factor t(k).\nAnswer: (k - 15)*(k - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 68. Which is the nearest to j? (a) -0.1 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11023 - 110?\nAnswer: 10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Let t(k) = 7*k + 2*k**3 + 0*k**2 - 15 - 2*k**2 + 10. Is t(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/991 or 1?\nAnswer: 5\/991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.139306 millimeters?\nAnswer: 0.000000139306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53.812 and 1.\nAnswer: 53.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(-1))*p*p*p\/(p**(7\/2)*p)*p)\/(p**(-13\/5)\/((p\/p**(1\/6))\/p)) assuming p is positive.\nAnswer: p**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*a - 596 - 64 = 251 - 143 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.3591285 rounded to 3 dps?\nAnswer: -28.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82552787*w**4 + 134710*w + 285 wrt w?\nAnswer: 990633444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Suppose -3*q - 4*o = 2*q + 6, -z*o = q + 6. Solve -s = -5*g - 2, q*g + 15 = -3*s + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*b - 5804 = -531*b - 94*b - 67124 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*u = -146*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/702 and 107\/5262084.\nAnswer: 68407092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 4}. Give prob of picking 2 v and 2 x.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 14. Let x be h(10). Let m be (2\/x)\/(5\/80). Let t = m + 10. Sort 4, -1, t in decreasing order.\nAnswer: 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 6*p**4 - p**4 + (4*p**3 - 2*p**3 - 3*p**3)*(-p + p + p) + 5*p**4 + 4*p**3 - 4*p**3 - 6*p**4 + 2*p**4 + 2*p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**4\/13 + 856*s**3\/13 - 31648*s**2\/13 + 79520*s\/13 - 39200\/13 = 0.\nAnswer: 2\/3, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 10 - 8 + 18 - 5*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -467*v**2 + 330*v**2 - 607*v**2 + 12*v**4 - 2*v**3 wrt v.\nAnswer: 288*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -84. Suppose -5*p = -5*f - 10, -2*f + t*f + 2 = 3*p. Suppose -f*a + 272 = -52. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:20 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -0.97, -3\/58, -0.3, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 3. Let d be w(5). Let i = 7 + d. Calculate the remainder when 24 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216073 - -14476529\/67. Let g = -150391\/27872 - v. What is the common denominator of 143\/6 and g?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujo when three letters picked without replacement from jjttuooojuoujotttt.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4258*h**2 + 15*h - 16. What is the thousands digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19040 divided by 8\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m + 4*m)*(34 - 5*m - 34).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 10:55 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 14*p = -44. What is the lowest common multiple of 4 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 5, z: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqlq when four letters picked without replacement from zlzzzlkzlfqzzqzzqkl.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1975*r - 3753 + 3753)*(4*r**2 - 4*r**2 - 2*r**2) as b + s*r + l*r**3 + v*r**2 and give l.\nAnswer: -3950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let p(l) = -8*l**2 + 8*l. Give f(p(b)).\nAnswer: 128*b**4 - 256*b**3 + 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3498*j**2 - 3493*j**2 + 6996*j**2. Let h(k) = 140*k. What is h(p(s))?\nAnswer: 700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 134, 144, 158, 176?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.552 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-3) - 6 - -529. Calculate the common denominator of (-1)\/2 - (-6 - t\/(-110)) and 28\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 2*m + m**2)*(m + 4*m - 3*m) + (63*m + 22*m + 65*m)*(-m**2 - 2 + 2) + 0*m**3 - 5*m**3 + 6*m**3 as y*m**2 + j*m + v*m**3 + f and give v.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8) + (-3)\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7. Suppose j = 2*i + 2 + 6. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-123668)\/(-14380))\/(1\/(35\/21*(-9)\/(-3))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135330685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1477713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 287*i**2 + 5*i**4 - 2*i + 1 - 287*i**2 to the form n*i**4 + p*i + y + w*i**2 + b*i**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392074?\nAnswer: 2, 43, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*g**2 - 430*g**2 - 430*g**2 + 1215*g**2.\nAnswer: -58*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187\/423 + 26\/47. Suppose -5*f - 5*d = 0, 5 = 2*d - d. What is the nearest to -1\/29 in -0.3, w, f, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2 + 2)*(3*n**2 + n**2 - 6*n**2) + n**3 + 0*n**2 + 0*n**2 + 3*n**3 + 9*n**3 - 5*n**3 + 22*n**2 - 355*n**3 - 47*n**2 + 354*n**3.\nAnswer: 3*n**3 - 25*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117850 + -48135. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Suppose 2*l = -1 + k. Let i(g) = -g**3 + 2*g**2 - 9*g + 37. Let w be i(3). What is the highest common divisor of l and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9027762241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089180 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.03 - -0.03. Suppose 0 = -4*k + 6*k - 3*f - 7, 2*k - 9 = f. Suppose k*u = 5*x + 9*u - 40, 28 = 2*x + 4*u. Put 0.8, j, x in decreasing order.\nAnswer: x, 0.8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246410 (base 9) in base 10?\nAnswer: -149049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3924 by 32998.\nAnswer: 1962\/16499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-274)\/(-24) + 105 + -116)\/(-5)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3962 divided by -824.\nAnswer: 1981\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 82275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 432*b**4 - 25402*b**3 + 225428*b**2 - 692160*b + 678976 = 0. Calculate b.\nAnswer: 2, 4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252836489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/18)*f**10)**(-3\/22)*f**(4\/9)*f*(f**(-2\/11)\/f)\/f*f*f*((f**1\/f)\/f)**32 assuming f is positive.\nAnswer: f**(-12715\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007398 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3626, -7262, -10900, -14540, -18182?\n\"Answer: -u**2 - 3633*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/22, 1\/37, 3, 5\/6, 0?\nAnswer: -17\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n - 0*n. Suppose 4*u + n*i = 1 - 19, -3*i = 15. Is u equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.211 + -0.089. Let i = c + -0.7. Put i, -2, 1 in descending order.\nAnswer: 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97\/72 + 1\/72. Let o = -0.03 - 0.07. What is the closest to o in -1, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*l**2*s**3 - 27316*l**2*s**2 + s**3 - 885311 wrt l.\nAnswer: 134*l*s**3 - 54632*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 192952480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140858, -281716, -422574, -563432, -704290, -845148?\n\"Answer: -140858*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30163 is divided by 25874.\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1725042\nAnswer: -690016.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 + 4. Let r(n) = -7 - 1 + 20*n**2 - 3. Suppose -14*l + 24 = -20*l. Calculate l*r(u) - 11*y(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 201, 408, 615, 822, 1029?\n\"Answer: 207*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12638 + 12638 + 110*k)*(0*k**2 + k**2 + k**2).\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/19 or 67316?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 72714*k - 508965. Give d(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 82*d**2 + 34*d + 16. Let n(x) = -x**2. What is t(n(p))?\nAnswer: 82*p**4 - 34*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1314 - -6.1314. Which is the closest to -1? (a) n (b) 1 (c) 0.1 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -24, -54, -96, -150, -216, -294?\n\"Answer: -6*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 27*i + 141. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/(-4))*(-135990)\/18132.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 3422?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192334*w**4 + 27*w**2 + 17461828*w - 1 wrt w?\nAnswer: -2308008*w**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 25838220?\nAnswer: 129191100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*f*l - 2*f*q**2*w + 32*f*q - 3*f*w + 3*f - 1191*l*q**2 - 2*l*w - 2*w - 40 wrt q.\nAnswer: -4*f*q*w + 32*f - 2382*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 264 = 7*d, 5*d + 171 = 7222*y - 7219*y for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Let u(k) = 3*k - 4. Let o be u(4). Suppose -4*v + o*v - 20 = 0. Are s and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 3*c**2 - 3*c - 4. Let g(p) = -2*p**3 - 4*p**2 + 4*p + 5. Give 4*g(x) + 5*z(x).\nAnswer: 2*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 2*f - 4*j, -j - 411 = -2*f - 0*f. Suppose 3*x - 7*x - f = 0. Let d = x - -53. Solve v - 3*a - 16 = -0*v, -d*v + 5*a + 27 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*a - 48 = -97, 0 = -5*o - 5*a + 15. Solve -2*c - y - o + 0 = 0, -6 = c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*k - 2020, -6*o + 2*o + 1640 = -4*k. Let u = o + -731. Let r = -180 - u. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:21 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4) - (-6 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2 + sqrt(117) - sqrt(117)) + sqrt(117) - sqrt(117)) + 3.\nAnswer: -6*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*(66\/(-18))\/((-704)\/1152)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 - -607271.19752348\nAnswer: 607267.89752348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56460\/2639 - 278\/13. Let n = t + -118\/203. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15487806?\nAnswer: 2, 3, 449, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -81126940 at least as big as -81126942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1971390, -1971389, -1971388, -1971387, -1971386, -1971385?\nAnswer: -1971384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12 - 414\/24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8688 and -67\/1810.\nAnswer: 43440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-5)*(-3740)\/3960?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 430964*f**2 - 3*f + 0*f - 430961*f**2.\nAnswer: 3*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Suppose -3*g = 2*j - 2*g - 13, j = h*g + 2. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6201581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -3.65. Let k = l - 0.15. Let t = -2.5 + k. Put t, -1, 3\/10 in descending order.\nAnswer: t, 3\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -13 (b) 14 (c) 15 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 0. Suppose f = -2*g + 8, -o - g = -0*g - 32. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -1, -0.13, 0.10054, 2, 4\/9?\nAnswer: 0.10054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, w: 4}. Give prob of picking 2 m.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - (36\/(-8))\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k*k\/(k*k*k**(2\/7)))**(30\/11) assuming k is positive.\nAnswer: k**(-375\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916.9336 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 143278*v + 2. Let d(n) = -10*n. Determine r(d(g)).\nAnswer: -1432780*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -44*h - 72. Let a be m(4). Let u = 280 + a. Calculate the remainder when 189 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*m + 4140 = -2*p, -2*p = 4*m + 1660. Let h = -391 - p. What are the prime factors of h?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1993 to 2 dps.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 1 = -26. Is 12 a factor of (-49 - (-3 + 2))*3\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/336385 and 50\/47.\nAnswer: 15810095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19104\/2985 - 13\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 22755*h**2\/2 - 34132*h\/3 - 1\/6 = 0.\nAnswer: -1\/68265, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111 - 21?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/42 - 199*d**3\/21 + 200*d**2\/7 + 11792*d. Let t(f) = 0. Calculate f.\nAnswer: -200, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 222*j - 187*j. What is the smallest common multiple of j and (-4 - (-24 + 2))*1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 5*n**3\/2 - 21*n**2\/2 - 20*n. Let a(t) = -23*t + 32. Let i(b) = -5*a(b) - 7*v(b). What is the tens digit of i(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2158919 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*b**2 - 8718*b\/5 - 2139\/5.\nAnswer: -3*(b + 23)*(125*b + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*m**2 - 4*m + m - 127 + 0*m + 215 wrt m.\nAnswer: -52*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1098 - -1102. Solve b + j + 7 = q, 13 = -4*b - 3*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5747, -5752, -5763, -5780, -5803?\nAnswer: -5832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 * 0.2449133.\nAnswer: 0.93067054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*r - 1 + 1)*(-926*r**2 + 1968*r - 1968*r).\nAnswer: -3704*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 389*h**3.\nAnswer: -389*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/97845?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 19. Let y be u(8). Let r(d) = -d**3 + 15*d**2 + 4*d + 3. Let b be r(15). Let k = y - b. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.06? (a) 0.03 (b) -2 (c) 3\/5 (d) 59 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -80. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, o: 8, z: 2, s: 1, d: 2}. What is prob of picking 2 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5309436?\nAnswer: 2, 3, 11, 19, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -8, -3\/2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 804 in -0.4, 3\/8, -38?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 6037 (c) -2\/15 (d) 3 (e) 49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 1 = -15. What is the remainder when 128 is divided by (-123)\/(-9) - ((-10)\/(-6) - c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (-5 + (sqrt(162)\/(sqrt(54)\/sqrt(6)) - sqrt(486)\/sqrt(3)))*5)**2 + -5.\nAnswer: 1560*sqrt(2) + 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17884724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let l(y) be the third derivative of y**6\/180 - y**4\/6 + y**3\/3 - 8*y**2. Let f(a) be the first derivative of l(a). Calculate f(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*p - 14716 + 12621 + 14325 + 17830 = 0 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3 - 147*i**2 + 52*i.\nAnswer: -6*i - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) -1\/7 (c) 1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2740.88 and 43.4.\nAnswer: 118954.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*2\/(2 + -6). Let t(h) = 5*h**2 + h. Let i be t(-1). Put s, i, 5 in descending order.\nAnswer: 5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300*f**2*p**4 - 19*f**2*p + 20962*f*p**4 - 377*f*p**2 + 3*p**2 - 4*p + 5 wrt p?\nAnswer: -7200*f**2*p + 503088*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08499 + -388.08499. Is -10 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*o - 28971 = -191*o + 98*o - 399*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 - -8.6. Let k be (0 - (-20)\/11) + -2. What is the closest to 0.2 in v, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1364 and 916784?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 + 13*k**3\/6 + 4*k**2 + 21*k. Let o be m(-12). Let w(a) = a**3 + 4*a**2 + a + 5. What is w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-11)\/(-55)*(-2)\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 6:09 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 5 = -f, 2*l = 2*f - 2. Suppose -a = -f*a. Suppose 5*h + 15 = 0, -2*h - 48 = -3*i - a*h. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3*(-4)\/30. Suppose 0*q - 4*q = -2*q. Let h be (-13)\/(-20) - (q - (-4)\/16). What is the biggest value in h, s, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 10 - 11\/2*z**2 + 0*z. Let k(r) be the second derivative of r**3\/3 - 3*r. Give n(k(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -69*b - 1. Let i be h(-1). Let x = 98 - i. What are the prime factors of (0 + (-32)\/20)\/((-4)\/x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(45\/(-2))*468\/104\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) 0.042 (c) -5\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*q + 908 = 0, g = -0*g + q + 302. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -18819, 1 in increasing order.\nAnswer: -18819, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = -3*h - 0*n, -15 = 3*h - 3*n. Let r be 1\/(1 - 0) - -16. Suppose 4*y + 3*w = -0*y + 1, h = -2*y - 5*w - r. Solve 5 + y = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -9*t**6\/2 - 3*t**5\/10 + 19*t**4\/6 + 5*t**3\/2 - 11*t + 2. Find the third derivative of y(h) wrt h.\nAnswer: -3240*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let r be s(-1). Let u = 2 - r. Solve u = m + 4*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/286 - 6\/154\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 1466*r + 220904.\nAnswer: 2*(r - 521)*(r - 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34075?\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 103*z + 100*z + 477, 3*n + 3*z = 714. Calculate the remainder when n is divided by 107.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 38560640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 9*n + 3672000 = 0. What is n rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 41*r**5\/2 - r**4\/12 - 5*r. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 14, z: 5, s: 1}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 31\/4762788?\nAnswer: 4762788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4\/5 + 21*w**3 - 864*w**2\/5 - 972*w\/5 = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3, 2607536*t - 2*f = 2607532*t + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/5011677 and -53\/1976436.\nAnswer: 140326956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17042 times -2.1\nAnswer: -35788.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k = 94*k - 208 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 232 - 53. Let i = -226 - -120. Let x = f - i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11731318?\nAnswer: 2, 1097, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 960436 <= 960445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 119. Let k = -55.2 - r. Round k to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose -3*h = 4*w + 40, -4*h - 4*w = h + 56. Let d(b) = -2*b**3 - 14*b**2 + 13*b - 2. What is the lowest common multiple of d(h) and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6, 3*y - 117 = 21*z - 26*z. What is the remainder when 545 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 + 2 - 7*h**2 + 0*h**2 - 20*h**2 + 0*h**2.\nAnswer: -42*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/25, -0.02?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*x = 7*x + 3, 0 = -4*k - 2*x - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 775.631 litres?\nAnswer: 775631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Suppose 0 = f*t - t + 20. Calculate the least common multiple of 8 and (-1)\/2 - t\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2.8607644\nAnswer: 2.1392356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 7*s**3 + 5*s**2 + (0*s**2 + 3*s**2 - s**2)*(s + 0*s + 1 + 2).\nAnswer: 9*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04803 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 195629 a multiple of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.10217\nAnswer: -0.051085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**9*(t*t**(-1\/7))\/t**(1\/11))\/(t**(2\/9)*t**(-2)*t**(1\/3)*t*t**(1\/4)) assuming t is positive.\nAnswer: t**(-13969\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4\/5, 23.2, 11\/8, -0.5, 2\/7, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -2804?\nAnswer: 252.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-268)\/6)\/((-2)\/(-3)). Let c = q - -117. What is the tens digit of 1\/(-2) + c\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -44.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*f + 3 = 5, -d - 3*f + 9 = 0. Let g = 46 - 44. Suppose -g*b - 3*b = -65. Calculate the least common multiple of d and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24726 - 24726 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646292.7us to minutes.\nAnswer: 0.010771545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + 1 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 88 = 0. Let r = t + 25. What is the remainder when 3 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 553536*y**3 + 53206990368*y**2 + 286059076*y + 384488 = 0?\nAnswer: -96122, -1\/372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3586.597 millilitres to litres.\nAnswer: 3.586597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18176836\/23 or 790298?\nAnswer: 18176836\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 11:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606479483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 = -123*b - 22*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiffiim. What is prob of picking 2 f and 2 i?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - i**2 + 2*i**2 + (23 - 3 + 0)*(2 - 5 + 0)*(4 - 2 - 12)*(0 + 1 + 0)*(-2*i - 2*i**2 + 2*i) in the form a*i + y*i**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/76 + (-6195)\/977550*-343.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 37 = 1. Calculate the remainder when 28 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -3*k, -2*t - 5*k + 6 = -3*k. Let c(d) = -2*d + 10*d**t - 27*d**2 + 2*d - 16*d**2. Let u(j) = 2*j. Calculate c(u(o)).\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by -36\nAnswer: 61\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, o: 1, c: 6}. What is prob of picking 1 o and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d = 99*d. Let r(k) be the third derivative of d*k**4 + 0*k**5 - 1\/35*k**7 + 0*k**6 + 0 - 2\/3*k**3 - 7*k**2 + 0*k. Differentiate r(h) wrt h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 484.4537.\nAnswer: 242.22685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/21531?\nAnswer: -20\/21531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -260 and 100.8837 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260445*h**4 - 13*h - 1198?\nAnswer: -3125340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3110341234 - 3?\nAnswer: 3110341231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35080.4 - 2\nAnswer: 35078.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3934 and 1523368.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -109, -256, -449, -676, -925?\n\"Answer: 2*v**3 - 41*v**2 + 20*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2135\/3 + -8543\/12. Let q be (-6)\/20*15\/(-12). Which is the closest to d? (a) -1 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-9160107\nAnswer: 3664042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238 a factor of 121478356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.816708ml in litres?\nAnswer: 0.008816708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -718 + 721. What is the closest to q in 0.7, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4220, 4221, 4222, 4223, 4224, 4225?\n\"Answer: c + 4219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q - 6. Let d be a(-5). Let f be (-8)\/d - (-32)\/18. Let b = -15 + 21. Solve b*s - f*s - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 734*s**3 + 17*s**2 - 62*s + 357. Is z(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 251*h**2 + 2361*h - 5494. Calculate u(260).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -19. Calculate the least common multiple of (9\/5)\/((-45)\/6375*-17) and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-40)*p)\/p)\/p)**33 assuming p is positive.\nAnswer: p**(-1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -464 - -465. Which is the closest to s? (a) 31 (b) -0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oolozcvllzlllzzo. Give prob of picking 1 c and 3 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j + 2. Let x(m) = -4*m + 1. Let v(l) = 3*q(l) - 8*x(l). Let d be v(-1). What is the remainder when 26 is divided by d - (2\/15 + (-152)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50689152 divided by 144?\nAnswer: 352008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.3 + -1.3. Let c = -0.7 - -0.3. Let f = 2262 - 13571\/6. Sort b, -0.5, f, c in decreasing order.\nAnswer: b, f, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342975745?\nAnswer: 5, 7, 19, 73679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -134, -124, -122, -134, -166, -224, -314?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from pkkpppcpawcawpcwwp.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 28*p**2 - 27*p + 10. Let i be r(-27). Suppose 4*q - i - 2 = -4*a, 0 = a - q - 1. Solve -a*v - 5 = -f - 3*v, 4*v - 20 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -21*p. Let a(q) be the first derivative of -8*q**3 - 221. Calculate x(a(v)).\nAnswer: 504*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*h + 2. Let u(q) = q + 7. Let b be u(h). Let y = b + -9. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 24*k**3 + 7*k**2 - 13*k + 32. Let r be b(3). Suppose c - r = 249. What are the prime factors of c?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245078539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2.292, -2\/3, -0.2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2016 - -2.7016. Suppose 0 = -5*v + 6 + 4. Put v, -4, 2\/3, z in decreasing order.\nAnswer: v, 2\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 - 5*y + 3. Let q be f(5). What is the greatest common factor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 - -17*(-21)\/357. Suppose -13 = 3*w - 4. Which is the biggest value? (a) w (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f. Let c be (-2)\/7 + (-36)\/21. What is the closest to f in 4, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6\/(u\/(u*u**(5\/9))) assuming u is positive.\nAnswer: u**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -15, -235 = p + 5*m - 249 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - 5*sqrt(102)*-1)\/(sqrt(96) - sqrt(96)*1 - sqrt(6)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + (-1)\/(-3)*3. Suppose 4*b + 0*k = 5*k + 4, 5*b - 3*k = w. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2078, -2080, -2084, -2090, -2098, -2108, -2120?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*r - 355, 2*r + 0*r + 2*c = 364. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66337, -132696, -199055, -265414, -331773?\n\"Answer: -66359*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112.6 - 113. Which is the closest to 0.2? (a) -0.14 (b) -5\/6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 11) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539451 and 22488023?\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-438*q - 915*q - 319*q).\nAnswer: -6688*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15682641 and 8488?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443 + 100412?\nAnswer: 101410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/60153 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -424368 and -13.74.\nAnswer: 5830816.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2da2a - 5?\nAnswer: -2da30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0103139 to four dps.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1728.\nAnswer: -691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.28 - 2.48. Let y be 4\/3 + 6\/(-3). Let s = -5 - -5.4. What is the closest to z in 2\/17, s, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20189 = -3*j, 0 = 4*n + 3*j + 12711 + 7508. Is n\/(-6) + 1\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 383*z - 2 + 236*z + 794*z + 791*z + 185*z as i*z + g and give i.\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let g(r) = 2*r**2 + 2*r - 2. Let l = -4 + 6. Suppose 0 = l*h - h - 2. Let a(w) = h*f(w) - g(w). Suppose a(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1565*t**4 + 2063?\nAnswer: -6260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -197, -339, -547, -827, -1185, -1627?\nAnswer: -2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*h - 31. Suppose 0*j = -2*s + j - 4, -h = s + 2*j. Let z = s + 47. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 + 100?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 4, t: 3}. What is prob of picking 2 z and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125150 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 299617645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 15 = -5*y, -2*x - 825*y + 4 = -824*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 29*w**2 - 55*w + 32. Let t be s(27). Let n(o) = o**2 - o - 2. Give n(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*n - 24, -32 = -5*r + r - 5*n. Suppose -r = -5*f + f. Is f*(3 - 0 - -34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let y be 0*(-3)\/(-12)*2. Suppose y = -2*f + 6*f. Let v(s) = 1 - s**2 + f*s**2 - 1. Give g(v(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15354 and -0.2802?\nAnswer: -4302.1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 57*a**2 + 285*a + 231.\nAnswer: 3*(a + 1)*(a + 7)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 24*r. Let j be 22\/(-33)*(-234)\/4. Let l = -37 + j. Let i(g) = 3*g**2 - 6*g**l - 2*g**2 + 3*g**2. Determine i(k(h)).\nAnswer: -1152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 2*k**6\/15 + 3*k**3 + 20*k. Find the second derivative of g(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 0, -208, -2 in decreasing order.\nAnswer: 0, -2, -4, -6, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/24 + 2*p**3 - 2*p**2. Let z be d(-10). Determine m so that 4*m**z + 3*m**3 + 8*m**5 - 2*m**5 - 4*m**4 - 9*m**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (207\/(-18))\/((-1)\/(-2)*1). Let i = 40 + r. Suppose -37*d + 36*d = -i. Calculate the remainder when 48 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g - 90 = 56*g. Solve -4 = 5*o - 0*s + 3*s, 2*o - 3*s = -g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6946138434?\nAnswer: 2, 3, 1157689739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6380352 and 81\/76.\nAnswer: 6380352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 701*b - 433. What is the tens digit of m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6399 + 2822018*v + 6742 - 2822017*v + 2339 as k + z*v and give k.\nAnswer: 15480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 459*a**3 - 2*a**2 + 407*a - 1210. Is d(3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-11\/3)*w)\/w*w**(-2\/23)*(w**(-3\/4))**(-37\/3) assuming w is positive.\nAnswer: w**(3817\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9672 >= 9670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*t + 7, -4*v + t + 9 = -2*t. Let d(x) = 4*x + 0 - v*x - 2*x + 1. Calculate the remainder when d(-11) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 1, e: 2, j: 1, n: 2}. What is prob of sequence hhe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**3 - 2*r**2 + 0 + 0*r - 2\/9*r**4.\nAnswer: -2*r**2*(r - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1414343 (base 6) to base 2.\nAnswer: -10011100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 76 + 917 - 228 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 73*n**2 + 209*n - 52. Give b(-70).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3925 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.19777 and -0.3.\nAnswer: -9.659331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3052 plus 12552818724.1?\nAnswer: 12552818723.7948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*r**2*z + 14*r**2 + 39*r*z - 9*r + 4844*z + 1171 wrt z.\nAnswer: 22*r**2 + 39*r + 4844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 7460459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10087643*n**4 + 968*n**2 + 2798*n?\nAnswer: 242103432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least 0.035536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 12 + 16 - 4 + 0.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*v + 4*r, -4 + 0 = 4*v - 2*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4899 and 21.\nAnswer: 34293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -2) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.22 (b) 5 (c) -0.044 (d) -0.106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - z - 2. List the prime factors of g(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + (-1)\/(-5). Let t = -620 + 625. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2. Let i(t) = -2*t + 1. Let u be i(4). Is x(u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409929379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/(-28)*-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -63. Let w(m) = -6 - m + 19 - 8 - l. Calculate w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 3*u - 3*u)*(-1 - 1 + 0)*(-17 - 25 + 34)*(0 + 2 - 1) as q*u + k and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ormm when four letters picked without replacement from yvvyryovydmmmdvyvmm?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-81)*6\/(-14).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228284 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15319*n + 842541. What is z(55)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2*o**4 - 799*n**2 - 2*n*o**2 + 17*o**4 wrt o?\nAnswer: 8*n**2*o**3 - 4*n*o + 68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24868, -27922, -33006, -40114, -49240, -60378, -73522?\n\"Answer: d**3 - 1021*d**2 + 2*d - 23850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 26*x + 115. Calculate the highest common divisor of 943 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 3899616.\nAnswer: 3899616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/9)*z*z\/z**(-29)*((z\/(z*z**11*z))\/z)\/(z**(-10)*z))**(-34) assuming z is positive.\nAnswer: z**(-8500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by 2\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 65\/79632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365172 is divided by 3829.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose 7*k = 2*k + 10. Is k < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 8. Let a(l) = -6*l**2 + l - 1. Let o be a(1). Let r(q) = -q**2 + 13*q + 8. Calculate the remainder when z(o) is divided by r(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/3635 + -141813\/58160. What is the common denominator of -81\/40 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99116 or -99117?\nAnswer: -99117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = -2*f, -5*f = -0*f + 2*x. Let d be f\/(-1) - (-7 + (5 - 0)). Solve 0*u - 3*o - 23 = -d*u, 2*u = -5*o - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 450, 1770, 3970, 7050, 11010, 15850, 21570?\n\"Answer: 440*v**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138722, 138723, 138724, 138725, 138726, 138727?\n\"Answer: q + 138721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(576))\/((sqrt(8)*-1 - sqrt(8))*6).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let g be 1 + 1 + v + 0. Let w = g - -17. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -13*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1474 and 85\/9988.\nAnswer: 669196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -125, -120, -125, -146, -189?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-374)\/(-4950) - (-3)\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67689765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -649140 + 416140. What is i rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = d - 4*z - 7, -10 = 2*d + 4*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 + o**4\/6 - o**3\/2 + 4*o**2. Suppose -b + 5*b - 20 = 0. Suppose 0 = -0*r - r - b. Determine l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63147.96 micrograms in milligrams?\nAnswer: 63.14796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(5 + -3 + 12*-82). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 6*a**2 - 12*a + 2. Let m be d(8). Let p = m - 24. Let j be (-2 + p\/3)*3. Solve j*b = -2*n - 3 + 7, -b = -2*n - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34367.24 micrometers?\nAnswer: 34.36724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 - t - 6. Let a be l(-5). Suppose -x + 0*f - f = 3, -3*x - 17 = -5*f. Sort x, a, 2.\nAnswer: x, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:56 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -7. Let w = j - -27. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 9*h**3 - h**2 + 3*h**2 + 3*h**3 - 1 in the form x*h**2 + d*h**3 + v*h + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -125\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.42. Let r = 0.32 - w. What is the nearest to 1\/4 in 4, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-195)\/(-27) + 2\/(-9). Let g = o - 2. Suppose 159 = g*t + 59. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at most -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13087, -52528, -118275, -210328, -328687, -473352, -644323?\n\"Answer: -13153*x**2 + 18*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*h**2 - 98*h**2 + 11*h**2 + 12*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 0, -2*t - 3*x + 9 = 2*x. Let i(z) = -z**2 - 5*z - 3. Calculate the smallest common multiple of i(-3) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3940059 at least as big as -27580412\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 b when three letters picked without replacement from wzmywbzywy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.182962697 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.37344 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 18 = 16*f. Suppose 0*s + 293 = s - q, -f*s = 3*q - 1505. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 4*d - 73. Determine t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1515 divided by -16285.\nAnswer: -303\/3257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 11*p**2 - 9*p - 4. Let t be r(10). Suppose 2*q = t, 4*g - 4*q = -8*q + 288. Which is smaller: 67 or g?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5441, -21779, -49015, -87155, -136205?\n\"Answer: -c**3 - 5443*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0, 16, -5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -24. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 20. Let h(b) = 8*b**3 + 5*b**2 + 2*b + 2. Let j be h(-1). Let o = -2 + 2. Sort j, x, o in increasing order.\nAnswer: x, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*f - 102 = 0, 22861*f + 168 = 22867*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 9) + -10 - (1 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656191763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14b690 (base 12) to base 15\nAnswer: 6e356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 18 = -b, -41*j = 2*b + 44 - 140 - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 10. Suppose 2*x - 3*x - 2*l = -10, 0 = -2*x - l + 5. Suppose -5*j + 0*j = x. Determine c(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 0.9?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 5*b**2 - 3*b**2 - b**2)*(-3 - 8 + 2).\nAnswer: -9*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2 - 3 + 21*p - 2. Let g(s) = 37 - 30 + 6 - 9 - 24 + 61*s. Let l(t) = -6*g(t) + 17*r(t). Determine l(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188084\/76143 - 2\/4479. Let n = u - -262\/51. Factor -2\/3*f**4 + n*f**3 - 2\/3 - 4*f**2 + 8\/3*f.\nAnswer: -2*(f - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(0 - (-117)\/12). Let t = i - 20. Solve s - 5*f = t, -5*s + f - 1 + 0 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2 and (-40)\/18*(-5)\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 78 = -2*k, 12*k - 7*k - 2*a = 213. Let b = k + -21. Is b less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2272, 16797, 56216, 132973, 259512?\n\"Answer: 2074*c**3 + 3*c**2 - 2*c + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q + 6. Let o be w(6). Let y be -1*8\/(-12)*o. Let r(p) = p**2 + 0 - y*p + 1 - 3 - 2*p**2. Determine r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*k - k - 195, 0 = -r + 3*k - 57. Let c = -41 - r. What is the remainder when 36 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-7)\/(-56)*3))\/(74\/(-1887)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166564611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 248 = -4*z, o - 5*z - 74 = 56. What is the greatest common divisor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + g - 6, -47 = 41*d - 130053*g + 130050*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 4*x + 4*x)*(0 + 3 - 2) + 6*x - 4*x - x)*(3*x + 2*x - 3*x + 3*x + x - 2*x + (-1 + 4 - 1)*(-3*x + 3*x + x) - x - 12*x - 16*x).\nAnswer: -184*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, k: 2, e: 2, h: 7, a: 2}. Give prob of sequence eaka.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 2 times 149\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from mxmmmfhfxmhuxhmh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let f be t(2). Let g be (-3)\/(-6) - f\/4. Let a = -39 + 47. Solve -4 = m + s, g*m - m - 3*s = a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - n - 446 = 307, 4*n = 4*s - 744. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/(4\/(-16)). Suppose a*m - 12 = 4*d, -m - m = 4*d + 24. Let i = 318 - 322. What is the biggest value in d, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 946 and 25960.\nAnswer: 1116280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.189 and 1.46.\nAnswer: 0.27594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(128) + 0 + 3*(sqrt(128) - (sqrt(128) + 0)))**2 + 3 + (sqrt(320)\/sqrt(2))\/(sqrt(5) + (sqrt(245)*2 + sqrt(245) - sqrt(245))).\nAnswer: -476*sqrt(2)\/15 + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00725982 to 5 decimal places.\nAnswer: -0.00726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 - 67?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.9 + -4.9. Let f = l - 22.5. Which is the closest to -1\/2? (a) -4 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -7 in increasing order.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9.1. Let h(x) = x**2 - 8*x + 13. Let q be h(4). Which is the biggest value? (a) q (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, u: 4}. What is prob of sequence zu?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -154582, -154581, -154580, -154579, -154578?\n\"Answer: f - 154583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:14 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0318 and 0.2?\nAnswer: 0.00636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10233*l + 6650*l + 11226*l - 5874*l - 737*l)*(-4 + 7 + 1) to p*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 187306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 836.5, -46, -0.3, 0.4 in descending order.\nAnswer: 836.5, 0.4, -0.3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 450 + -4?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - -49)\/(-2*2\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -223454 (base 6) to base 11\nAnswer: -13286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/32*-16*2074\/(-61)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Suppose 5*l = 3*a + 12, w*l + 7 = 2*l + a. Solve -l*r - 1 - 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z + 6*z + 5*z + 7*z + 331 - 28*z. Let s(v) = -v**2. Calculate s(c(p)).\nAnswer: -25*p**2 + 3310*p - 109561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(3) - -1*sqrt(3))*-3).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49837976.\nAnswer: 2, 61, 73, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. Let s be 14\/b*18\/(-21). Solve q = -4*n + 13, 3*n + n - s*q + 7 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 12. Let m be b(-20). Let t = 1 - 1. Solve t = 2*r + m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 2*x)*(x - 2*x + 3*x)*(270*x**2 + 43*x**2 - 62*x**2).\nAnswer: 1004*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809*z + 371*z - 3 + 3.\nAnswer: -438*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**8\/240 + r**4\/4 + r**3 - 1. Let y(m) be the third derivative of k(m). What is the derivative of y(h) wrt h?\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {c: 4, x: 2, p: 4, n: 2, t: 1, g: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 31 = -91. Suppose -4*t + l*t = 1784. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -613 - 17f?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3182*r - 3597*r + 2510, 3*r = 4*z + 2 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*m - 3 = 0, -70*j + 5*m = -69*j - 33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 0*(-3 + 2). Suppose y + l*z = 2311, 4*z + 6983 = 5*y - 2*y. Is (2\/2)\/(11\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -778885, -1557771, -2336657, -3115543?\n\"Answer: -778886*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**13*t\/(t**(-1\/6)\/t)*t*t*t\/t**(-2) assuming t is positive.\nAnswer: t**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157\/5*-1 - 1137\/1895.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**26\/(((o**(-6\/5)*o)\/o)\/(o*o*o*o**(-1\/8))) assuming o is positive.\nAnswer: o**(163\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/100 + -1183\/900. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**3 + 5*y - 1. Let r be 3*2\/3 + -11 + 11. Let s(u) = -3*u**3 - 2*u + 1. What is r*k(l) + 5*s(l)?\nAnswer: -l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 513 - 504. Let a(s) = s**2 - 9*s + 3. Let i be a(8). Let u = i - -15. What is the smallest common multiple of u and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 3)*(-s - s + 4*s) + 3*s + 4*s + 3*s in the form v*s + h and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/12 - 975*k**2\/8 - 244*k + 3437. Suppose g(l) = 0. What is l?\nAnswer: -1, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169847 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843491*w**2 + 173 + 1336*w + 843491*w**2 - 173 - 23*w**3 - 1336*w.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.9 + -13. Put 4, s, 2 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11 - 6 + (2 - 1 + 0)*(-4 + 4 + 4))*(-2 + 0 + 0)*(3*p - p**3 + 2 - 3*p).\nAnswer: 6*p**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and -15\/21691702?\nAnswer: 43383404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12927, -12884, -12843, -12804?\nAnswer: -12767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333213001 + -1?\nAnswer: -1333213002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, 7, 57, 149, 295, 507, 797, 1177?\n\"Answer: 2*x**3 + 3*x**2 - 3*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 99*q**3\/2 + 343*q**2 + 633*q. Find the first derivative of b(g) wrt g.\nAnswer: 297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3561, 4, -80.\nAnswer: -3561, -80, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 4, q: 2}. What is prob of sequence pqe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -149 in -2, -7, 0, -1\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/30 + 3*t**4\/8 - 3*t**3\/2 - 4*t**2. Suppose 48 = -4*p - 4*m, -5*p - m + 2*m = 30. List the prime factors of d(p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007286560662 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/7*-35*-1*(-60)\/150.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-858)\/(-55) - 4) + -11.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuhuuuuuuuhha. What is prob of picking 1 h and 3 u?\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*b - 16, -g - 2*b = -3*g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) + -2 + sqrt(343) + sqrt(343) - (sqrt(343) + -1 + -4) - ((sqrt(343) - -1*(-4 + sqrt(343))) + -2))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 128.1 and 44.07.\nAnswer: 172.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193460.\nAnswer: 2, 5, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 13 - 6)*(2*y**3 - 2 + 2 + (y - 2*y + 2*y)*(0*y**2 + 2*y**2 - y**2)).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 1, i: 1, h: 2, n: 2, f: 2}. Give prob of sequence hzu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 21657784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-13071\nAnswer: 5228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-70)\/(-4). What is the highest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-3*sqrt(27)\/sqrt(3)) - (sqrt(288)*-2)\/sqrt(6).\nAnswer: 23*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -260, -228, -164, -62, 84?\n\"Answer: w**3 + 10*w**2 - 5*w - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -354, -345, -340, -339, -342?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1143585 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*d = 40, 3*d + 30 = 2*z - 0*d. Let i = 7 + z. Let g = 36 + 0. What is the remainder when g is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*u**5 - 41560*u**4*z + 2*u**2*z - 910916*u*z wrt u?\nAnswer: 1140*u**2 - 997440*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 2. Let v(i) = -5*i + 1. Let y(x) = -4*m(x) + 5*v(x). Suppose k + 11 = 2*z, 0 = -3*k + 26*z - 23*z - 21. Calculate y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/9 + 4720*x\/9 + 4382098\/9 = 0.\nAnswer: -713, 3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14131233 (base 5) in base 7?\nAnswer: 1145061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*-2*-3. Let l = 53 - 48. Put 0, w, l in decreasing order.\nAnswer: l, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 + 4*t**3 - 10*t**3 + 2571*t - 2569*t)*(1 - 2 - 1)*(-3 + 4 + 0)*(28*t - 28*t + t**2).\nAnswer: 12*t**5 - 18*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144722282*u**2 + 3*u + 144722284*u**2 - 3*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6281 - -2?\nAnswer: 1.3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, m: 1, j: 4, o: 1, x: 2, n: 2}. What is prob of picking 2 x, 1 m, and 1 j?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 11}. What is prob of sequence pp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 - j - 1. Let o(m) = -5*m**3 - 3*m**2 - 3. Determine 2*d(r) - o(r).\nAnswer: 3*r**3 + r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9978, 78807, 264834, 626403, 1221858?\nAnswer: 2109543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.012932411 + -16.987062189. Let z = -17 - j. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.614151 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 653 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 13*g**2 - 19*g - 5. Let v be z(8). Let m = v + -153. Solve -8 = -6*n + m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/5 (c) -7614\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/60 + 3*k**4\/8 + 4*k**3\/3 - 2*k**2. What is the lowest common multiple of 16 and w(7)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10 + 18 - 30 - 7*k. Let c be l(-1). Solve 4*s - 8 + 31 = -3*f, 5*s - 3*f - c = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 73*w - 941. What is the remainder when 169 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/9 + -3 - -2)*-1119. Is -746 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3) + 207\/(-108)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/u**(3\/19))\/(u\/((u*u**(2\/17))\/u))**48 assuming u is positive.\nAnswer: u**(-15992\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 149.865. Let g = -0.24 + s. Let z = g - 0.261. What is z rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:06 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -780347, -780350, -780353, -780356?\n\"Answer: -3*a - 780344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t - t)*(t**3 + 0*t**3 - 3*t**3) + (-3*t**3 + 7*t**3 - 2*t**3)*(28*t - 38*t + 108*t) as z*t**4 + v*t**3 + i + k*t + s*t**2 and give z.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 28. Let c = 20.6 + a. Round c to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 62. Calculate a(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4217*c = 4220*c - 12. What is the third smallest value in -3, c, -1\/2, 19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2016 and 16541280.\nAnswer: 16541280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let k = 5 - f. Suppose -k*j + 190 = -0*j. Calculate the greatest common factor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 + 89 - (-7 - ((4 - 0) + -2))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - n - 6 + 7 = 0, -3*h + 13 = 5*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -20 (c) 0.14 (d) 849 (e) 0.4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*l - 16 = 0, 5*u - 17 = -4*l + 69. Suppose u + 16 = z. What is the greatest common factor of z and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90307, -90203, -90133, -90115, -90167, -90307?\n\"Answer: -3*p**3 + p**2 + 122*p - 90427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*o + 216, -5*o - y = -8*o + 228. Suppose 0 = -x - 4, -2*x - 15 - 4 = -v. Calculate the highest common divisor of v and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.26 (b) -4\/5 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 62*b = 648 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 10. Let c be t(-7). Let v(g) = 6*g + 7. Let m be v(c). Suppose -m*j = -30*j + 140. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008531 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*y**2 - 60*y**3 + 92*y**2 + 120*y**3.\nAnswer: 60*y**3 - 52*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 129, 227, 379, 603, 917?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -114. What is the lowest common multiple of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 20.90954.\nAnswer: 6.90954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -17 - (622 - 596)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-12))\/(14\/21). Let c(q) = 3*q. Let y be c(1). Find the third derivative of r**3 - r**y - r**2 + n*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from daaadadaaaaaaaaaad.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5543 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:53 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zzzrzrzmmxzxrxr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 + -180. Let j = -1 - 4. Sort j, a, 2\/5, -2\/3 in descending order.\nAnswer: 2\/5, -2\/3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2029*n**6 + 2130*n**2 wrt n.\nAnswer: -243480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 492*c + 42172. What is g(111)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))\/(f*f**1*f)*f*f**(-1)*f**(-1\/4)*f assuming f is positive.\nAnswer: f**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2 (c) 1\/4 (d) 0.3 (e) -4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 7*z - 1. Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 - 3*d - 114)*(2*d**2 - 2*d**2 - d - 2*d**2) + 56 - 56 - 11*d**3 in the form i*d**3 + b + j*d**2 + l*d and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 78793633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from dyeuqyyuyyudgdu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 4*i + 9, b - 156 + 160 = 3*i for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46113076.\nAnswer: 2, 19, 199, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, -0.04, 186, 12139 in decreasing order.\nAnswer: 12139, 186, 0.3, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 2. Let x be f(5). What is the first derivative of -30*i**3 + 0*i**2 + 29*i**3 + 0*i**2 - x wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**2 + 15\/4*z**4 + 43 + 0*z**3 - 35*z. Find the first derivative of a(i) wrt i.\nAnswer: 45*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1336 + 142 = -6*p. List the prime factors of p.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/(-63))\/(3\/((-135)\/(-10))). Let l be 6 + -3 + (-2 - -2) + 0. Let d = 2 - 1. Put h, -1\/4, l, d in descending order.\nAnswer: l, d, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192 and 12?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) - (-1*sqrt(1089) + sqrt(9))).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76440 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/(6\/(-20)). Suppose 4*k - d = -2. What is the units digit of k + 2\/1*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:43 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100474 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 25 - 297 - 2 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5264*f**2*k**2 - f**2*k + 2*f**2*t + 10*f - 2493643*k**2*t - k*t wrt t?\nAnswer: 2*f**2 - 2493643*k**2 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -5*d**6\/3 + 5*d**2\/2 + 17. What is the second derivative of j(c) wrt c?\nAnswer: -200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - -8) + (-299 - -257)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29954 and 136?\nAnswer: 119816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50980 + -50980.1. Suppose -5*w - 125 = -0*w - 2*m, 2*m + 91 = -3*w. Which is the smallest value? (a) -1 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 6 = 3*n. Let u = n - 34. Let p be u + 2 + -2 + 1. Solve 2*t = -p*t + 6, 3 = 3*c - 4*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3337*h**2 - 2*h + 750 wrt h?\nAnswer: -6674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16325 - 15485. Calculate the highest common factor of i and 2415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68571.\nAnswer: 3, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i - 6 + 90 = 0. Solve 0 = -i*l - 29 + 32 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 3*g**2 + 2*g - 4. Let l be r(-4). Let y = -2502 - -2502. Suppose -l*h + 0*h + 324 = y. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + b - 7. Suppose 185*r - 192*r - 7 = 0. Let f be 4\/r - 27\/9. Calculate j(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/69626 and 9\/1654.\nAnswer: 57580702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aywtyxxyuyxaytxx. What is prob of picking 1 a, 1 x, and 2 y?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5895 and -143\/74772.\nAnswer: 48975660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155393741 to the power of 1\/2, to the nearest integer?\nAnswer: 12466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 7 - 2*r - 3*r + r.\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 23*g + 1512 = 0. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*d**2\/6 - 2641*d\/3 + 46172\/3.\nAnswer: (d - 388)*(13*d - 238)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929331270.\nAnswer: 2, 3, 5, 7, 1475129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3. Let q(s) = s**2 - s + 5. Let v be q(0). Let r(i) = -i + 2. Let c(o) = v*n(o) + 6*r(o). Calculate the remainder when c(-3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10008 divided by -5.\nAnswer: 10008\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11.92. Let g = o - 0.01. Let b = -0.090002 - g. Round b to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 12*s. Let t be x(-12). Suppose t = 2*i - i + 4. Let u(d) = 2*d**3 - 4*d**2 + 3. Let k(g) = 2*g**3 - 3*g**2 + 2. Give i*u(v) + 5*k(v).\nAnswer: 2*v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 318, 739, 1328, 2085, 3010, 4103?\n\"Answer: 84*x**2 + x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + -2 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 8. What are the prime factors of 48\/3 - (i + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3731158 is divided by 680?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9215751.\nAnswer: 3, 17, 180701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 12\/13, 0.1, 0.5, 2, -43 in ascending order.\nAnswer: -43, 0.1, 0.5, 12\/13, 2, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5\/3, 2\/7, 0.5, -0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**4 - 30*v**3 + 84*v**2 - 80*v + 27. Let z(y) = -2*y**2 + 2*y - 1. Let d(m) = w(m) + 3*z(m). Factor d(x).\nAnswer: 2*(x - 12)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (2 + -5)) + -1 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -260 times 77.5\nAnswer: -20150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -356 - 37f?\nAnswer: -6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*a**3 + a + 1059*a**3 - 104*a**3 to the form h*a**3 + w*a**2 + f*a + m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 - (-2 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5\/(w\/(w*w*w*w**(-18)))*w*w**17*w*w*w**(-9) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-159)\/371.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + (1 + sqrt(2800))*3))**2 + -3.\nAnswer: 2400*sqrt(7) + 100897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 34*k**2 + 4*k - 4. Let b be i(1). Suppose 0 = -40*d + b*d + 2586. Calculate the remainder when d is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 - -218.\nAnswer: 217.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 42*y**3 + 117*y**2 - 4*y - 156.\nAnswer: (y - 1)*(y + 2)**2*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 83*3 + -2. Let s = y + -141. Suppose -32 - 44 = -3*m + 2*z, z + s = 4*m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/7 - 463008*k + 187579357056 = 0. Calculate k.\nAnswer: 810264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9041, -10282, -12335, -15194, -18853?\n\"Answer: w**3 - 412*w**2 - 12*w - 8618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31389 + 31467. Solve -37*n - 255 = m for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q - 1. Let m be q*1*3\/3. Solve m*x - 12 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**2 - 21. Let v(p) = -3*p**2 - 3*p**2 + 7*p**2 + 4. Let k(n) = -2*r(n) - 11*v(n). Give k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720) - (sqrt(720) + -2 + 2 - sqrt(720))) + (sqrt(720) + 0)*5 - ((-5 + sqrt(720)*-4)*-2)**2.\nAnswer: -46180 - 1836*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/16442 - -131801\/4357130. Find the common denominator of u and 61\/50.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 17*t**4\/24 + 4*t**3\/3 - 9*t**2. Let y be g(4). What is the highest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -95*w. Let d(m) = -2055 + 2055 - m. Calculate g(d(l)).\nAnswer: 95*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-3)\/(-12) + 1. Let h(c) = -5*c - 3. Let u(f) = -4*f - 2. Determine w*h(l) - 3*u(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336481.\nAnswer: 17, 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 763 + 3*s - 763 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 160285 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 14*t**2 + 10*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17984903.\nAnswer: 79, 251, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - sqrt(110)*1*3)\/(-4*sqrt(50)\/sqrt(5)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11690.77 decades?\nAnswer: 116907.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/265 and -11\/4135.\nAnswer: 219155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6421, -25841, -58255, -103663, -162065?\n\"Answer: -6497*c**2 + 71*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/677 - 2045\/4739. Let n = 8839.1 - 8837. Put 3, w, n in descending order.\nAnswer: 3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11442 is divided by 2619.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3 - (1 - 5)). Is (-3 + 134)\/r - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.043257 and 2652.\nAnswer: 2652.043257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + 214. Which is the third smallest value? (a) -1 (b) t (c) -2\/13 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -667?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 + -67. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:23 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(52)\/sqrt(4)*4.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7703.2 + 6457. Round j to the nearest ten.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 7 + 0 - 2*t + 0 + t + 0 - t + t + t + (-1 - t + 1)*(0 - 3 + 2) + 3*t + 2*t - 3*t - t + 0*t + 3*t + 5*t - 4*t - 2*t.\nAnswer: 4*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -581, -4, 157?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3334*w**3 - w**2 + w - 2. Let s be g(-3). Let h be s\/12 + (-1)\/3. What is h rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/581 and -57\/14.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 211*y**2 - 960*y - 288005. Calculate o(-209).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 145\/(-17545)*-15532 - 128\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.1. Suppose 2*n - 3*o = 46, -5*o + 12 = n - 24. Let z be (-10)\/(-6) + -2 + n\/42. What is the biggest value in 0.2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from llkklllllllkkk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:47 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -30. Let q = 10 + -2. Let b = h - q. Solve -5*u + b + 9 = -2*l, 2 = 2*u - 4*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 6, -w + 3 - 7 = m for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7593678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156093 and 21?\nAnswer: 156093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a**2. Suppose -25*g + 20*g = 210. Let d = g + 44. Let f(k) = -4*k**d + 1009 - 1009. What is f(c(z))?\nAnswer: -900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) + sqrt(136))*-3 + (3*2*sqrt(136) - sqrt(136)))\/((sqrt(56)*1*4)\/(sqrt(448) - sqrt(448)*2)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -22 (c) -238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183398*g - 42*g**3 + 183397*g + 31*g**3 - 77 to k*g + w*g**3 + r*g**2 + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(5 + -1) - 449. Let y be (9473\/(-7))\/(-2 + -1). Let v = y + c. What is the third smallest value in 2, v, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -122, -372, -874, -1712, -2970?\nAnswer: -4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 707 from -81.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 15 = -3*w + 2*p, 10*p - 6 = -2*w. Suppose 0 + 0*s + 0*s**2 - 4\/7*s**w = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 - 11*q**2 + 46*q + 19. Suppose -11*s = -26 + 70. Let i(a) = -a**3 + 2*a**2 - 9*a - 4. Let h(x) = s*y(x) - 22*i(x). Factor h(g).\nAnswer: -2*(g - 3)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*b - 0*b + 4*q, -2*b + 5*q = 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110*19.026\nAnswer: 2092.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98126)\/(-70) + (-4)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903.2106 rounded to 0 dps?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 4*v**3 - 3*v - 3*v - 2. Is y(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 - -461. Let c be (-6058)\/(-91) - (0 - m\/(-21)). Calculate the highest common divisor of c and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (282\/470)\/((-1)\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/21 - -52\/21. Let p(q) be the first derivative of 0*q + z*q**3 + 0*q**2 - 10. Let g(a) = -2*a. Give g(p(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 - o - 2. Let i be j(-2). Suppose -i*l = 662 + 834. Let h be (3\/6)\/((l\/(-12))\/11). Is h equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 50*f**2 - 300*f - 4. Calculate t(5).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3908, -30674, -102944, -243350, -474524, -819098, -1299704, -1938974?\nAnswer: -2759540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*o**2 - 157*o**2 + 2*o**3 - 23*o**3.\nAnswer: -21*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 24\/(-2))*4. Let p = t + 98. Let n = -18 + p. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -31. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 5*u - 24*u**3 - 19*u + 16*u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1797008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5da79 (base 16) to base 5\nAnswer: -44233414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61043639 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-27))\/(-7)*1\/2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255 + -241. What is the third derivative of -9*q + 4*q - 174*q**3 - q**2 + 19*q**2 - d*q**2 wrt q?\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-39)*30\/27*40\/350*-15.\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -12. What is the biggest value in 2\/11, 3\/5, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 0, -2*c + 1056 = j - 7*c. Suppose 16*y = 5*y + j. Calculate the greatest common factor of y and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, 123, 173, 221, 267?\n\"Answer: -j**2 + 55*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(0 - 4 + 2)*(-i + 0*i + 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 - 2. Give g(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 + 0*g**2 - 8*g**2 + 3*g**3 to the form r*g**3 + n*g + d*g**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and -52\/2728197?\nAnswer: 2728197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 19 + -1 + -3 + -2*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61322, 61280, 61208, 61106?\nAnswer: 60974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = -i - 1, 4*w - 3*i = 8. Let s = 211\/351 + -10\/27. Is w greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8) + 311\/210. Suppose 0 = -148*a + 140*a. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (2 - (3 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4119 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:11 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 376256488*y**4 - 1392327963*y wrt y.\nAnswer: 4515077856*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026063 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1094 + 3104. Let y = w - 11921\/6. What is the common denominator of -56\/3 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-408)\/(-816)*(1*-2 + 2). Solve -d = 17*p - 20*p - 15, 4*p + 2*d + 30 = i for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 28*i + 27. Calculate s(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 25 = 4*r - 3*r, 2*r + t - 6 = 0. Suppose -3*h = 4 + r. Let q be ((-1)\/(-4))\/((-14)\/8). What is the biggest value in q, h, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -139*b**4\/4 + 5*b**3\/6 + 7*b**2. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22135917 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/32, 1, -4\/3, 0.2, 929?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 4*l**5\/35 + 270*l**4\/7 + 73972*l**3\/21 + 72360*l**2\/7 + 71824*l\/7 + 263. Let d(u) = 0. Calculate u.\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*s**4 - 14868*s**3 - 99208*s**2 - 79488*s - 17024 = 0. What is s?\nAnswer: -38, -7, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, 2\/5, -1.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154061609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 10*k**2 + 2*k - 21. Let l be n(10). Calculate the common denominator of 107\/18 and l\/4 - (-486)\/264.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191719.35 months to decades.\nAnswer: 1597.66125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.28 and -17.323345028507.\nAnswer: -17.603345028507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6852*c*s*w**3 + 3*c*s*w**2 + 17*c*w - 851*s*w**3 - 24*s*w - 22*w**2 + 4 wrt w?\nAnswer: -41112*c*s - 5106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 + 225. Let m(b) = b + 57. What is the units digit of m(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 182, 223, 262, 299?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 25. Let t be -1 - -2*(0 + 1). Let h be t + (-1 - -15 - -1). Calculate the highest common divisor of c and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 200*s**2 + 2381*s + 154813. Calculate b(-96).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -0.3 (b) -0.0353 (c) -2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 3, -7, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/28*35\/50. Which is the second smallest value? (a) 1\/3 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42 - 9*f**3 - f**2 - 2*f - 2*f + 42 wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -83. Suppose 0 = -14*j + 17*j - 48. Calculate the smallest common multiple of y and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -217.\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-9 - (-10 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.3 (b) -5\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*i = i + 147, 5*w + 4*i = 210. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2062*q + 1. Let x(f) = f**2. Give x(t(v)).\nAnswer: 4251844*v**2 + 4124*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 20922.\nAnswer: 836.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 16*h + 21*h + 26*h + 79 - 62*h to u + g*h**2 + p*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*w**2 + 55*w - 40 = 0. What is w?\nAnswer: 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 + 3*w - 919 + 18 - w - 1103 to i + j*w and give i.\nAnswer: -1877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4 (c) 96 (d) 15452\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.2, 0.1799, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**2 - 1143*x**4 + 550*x**4 + 535*x**4 + 2*x**2 wrt x?\nAnswer: -1392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.73949 litres in millilitres?\nAnswer: 41739.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4365 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141075*b**2*i**3 - 289*b**2*i - 2210*i**3 - 1333*i**2 + 2 wrt b.\nAnswer: -282150*b*i**3 - 578*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12717.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 112426843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.9761 rounded to 0 dps?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14607081 and 3942.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:08 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 17*l - 21. What is the units digit of z(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chnoaaahhwc. What is prob of sequence oana?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17387431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - 1405*y - 98678. Determine u(-142).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let x(s) be the third derivative of 3*s**4\/4 + s**3\/6 - 9*s**2 - 4*s. Determine r(x(b)).\nAnswer: -72*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -1\/9*o**4 + 1\/15*o**6 + 2*o - 1\/3*o**2 + 0 - 1\/63*o**7 + 1\/3*o**3 - 1\/15*o**5. Solve g(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-62*u - 3 + 5 - 2).\nAnswer: 62*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-12)*-2*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2537330*r**2 + 3095755*r wrt r?\nAnswer: 5074660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*z + 267*z - 58*z)*(4*z + 2*z - 5*z).\nAnswer: 364*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 7:57 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -58*k - 1654. What is v(-38)?\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**5 - 11*b**4 - 12*b**3 - 5*b**2 + 2*b - 5. Let w(s) = -5*s**4 - 6*s**3 - 3*s**2 + s - 3. Let j(o) = -3*v(o) + 5*w(o). Factor j(q).\nAnswer: q*(q + 1)**3*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 7 (c) -0.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Suppose -r*t + 2692 = -2*t. Is t\/(2*(-2 + 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 + 3*r**3 - 8 - 5*r**3 - 13*r**4 with respect to r.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = 8. Which is the nearest to -1? (a) r (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030741486 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 7*v**2 - 5. Suppose 0 = -d - 3*i + 7, -7*i + 3*i = 20. Let z = d - 15. Let j(k) = -k**3 - 4*k**2 + 3. Give z*j(m) + 4*x(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432505 divided by -1?\nAnswer: -432505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419, -434, -465, -518, -599?\n\"Answer: -g**3 - 2*g**2 - 2*g - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -7*t**3\/6 - t**2\/2 - t. Let w be n(-1). Let c = -1 + w. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -47*d**2 - 93*d + 94. What is q(1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 0 + 0. Let u(n) = 84*n + 1. Let x(a) = 255*a. Let q(g) = 3*u(g) - x(g). Give i(b) - q(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 951227.7ug in nanograms?\nAnswer: 951227700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 27. Let j be z(8). Suppose y = 217 + j. What are the prime factors of y?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 24. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/70 - (-7527)\/21 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 2593*x**5\/20 + 1047*x**2 + 1368*x. Differentiate d(b) wrt b.\nAnswer: 7779*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652905.\nAnswer: 5, 19, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*k, -2*m + 5*k = -191. Let p = -113 - -114. Suppose f - m = -p. What is f rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -422, -934, -1648?\nAnswer: -2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -69*h + 678. Let w be b(-28). What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.02, -1, 3.\nAnswer: -6, -1, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l - 470. Suppose 254 = -3*x - 4*y, 0 = -x + 19*y - 17*y - 88. Let g = x - l. What is g rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10356, 9978, 9354, 8484, 7368, 6006?\nAnswer: 4398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - 2.13. Sort 1\/2, -1, u in decreasing order.\nAnswer: 1\/2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517755 (base 14) in base 16?\nAnswer: -29ef1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.7 + -7.6. Which is the closest to 4? (a) k (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-28))\/(((-270)\/(-28))\/(-9)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121636 divided by 293?\nAnswer: -121636\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -3, -8, -9 in descending order.\nAnswer: 4, 3, 2, -3, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 10:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14722776.\nAnswer: 2, 3, 68161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 233271029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 2, h: 7, s: 2, w: 2}. Give prob of sequence wlsg.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5312*a + 502*a = -151164 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -d - 43, -3 = 4*q + 5*d + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3146) - ((sqrt(3146) - sqrt(3146)*-2) + sqrt(3146))*-6) + sqrt(3146) + -1*2*sqrt(3146))\/((sqrt(64)\/(sqrt(4)*-1))\/(sqrt(8) + sqrt(16)\/sqrt(18))).\nAnswer: -352*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 86*i + 114. Calculate o(-44).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75074 + -75070.7897. Let c = y + -0.0003. What is c rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140900 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + 17.66. Let s = h - 17.66. What is the second smallest value in 0.3, s, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232798 by -1394.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (567 + -543)\/(28\/(-2))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/2)\/(46\/(-276)). What is the highest common factor of 231 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -25. Sort 1, p, -3 in descending order.\nAnswer: 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 246 = 676. Let r = c + -53. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*g**3 + 106*g**3 + 143*g**3.\nAnswer: 336*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l - 7*l + 110 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 2*u + 192. Let q(y) = -y**2 + 16*y - 48. What is the remainder when u is divided by q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 395*d**2 + 19 - 10 + 398*d**2 - 5.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 6*w + 5. Let u be 6\/(-3)*2 - (-3 + 94). Let x be (-4)\/(-18) + 28*u\/(-180). Suppose x*v - v = 56. Determine z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(2 - 3 - 1)*(-5*t - 1 + 2*t + t).\nAnswer: 8*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325795550 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/3, -0.21, 0.4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0441*2.\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29760\/(-25792)*8\/(-10).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shlhzhhislqhhh. What is prob of sequence hsq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 0.543 (c) -6\/11 (d) -2\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 6*s. Let v be h(-6). Find the third derivative of 35*f**3 + 43*f**2 - v*f**2 + 55*f**2 + 0*f**3 wrt f.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Let g = -2 + j. Which is the third biggest value? (a) g (b) -0.5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p - 9. Calculate a(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3, o: 2, w: 1, k: 3}. Give prob of picking 1 o and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.37 - -0.37. Let w = -44.000029 - t. Round w to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**4\/u*u*u)\/u)*u*u**(-2)*u)\/((u*u**(2\/25)*u)\/(u**(-7)\/u)) assuming u is positive.\nAnswer: u**(-377\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.96087017 to four dps.\nAnswer: -1.9609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 2. Let w be f(-3). Let x be (-29)\/(-2) + (-2)\/(-4). Let l = x - 11. What is the third smallest value in w, 1, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 - l**4 - 9*l**3\/2 + 393*l. Solve j(p) = 0 for p.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from cxxxcxxcxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-27) + (-2 - (-452)\/6). Let v = m + 120. Suppose -743 = -11*l - v. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -19*p - n + 16, -5*p = -2*n - 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-8)\/(-4) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199104 and 5856.\nAnswer: 199104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 81 (b) -3 (c) -28.36 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -1155?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174971 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(42)\/(sqrt(54)\/sqrt(9))))\/(sqrt(6)*2*5 + sqrt(12)\/(sqrt(12)\/sqrt(6)))*3.\nAnswer: 3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4524 and 28507.\nAnswer: 4447092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20731327\/182 + -113908. Let z = -1\/26 - m. Which is the nearest to 2? (a) 3 (b) z (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/98)\/((-3)\/2 - -2). Which is the closest to y? (a) -1\/7 (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(-2970)\/270.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - z - 8. Let t be o(4). Let x = 42 - t. Suppose 3*m - 6*m = -x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 122?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 11*x - 18. Is x greater than -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*1*33\/(-22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2970 and 71\/9666.\nAnswer: 531630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033 - -303?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/517320 and -37\/160200.\nAnswer: 230207400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/14*16\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5776298, -1 in descending order.\nAnswer: 5, 2, -1, -5776298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-36)\/(-16) + 15\/(-12)). Let h be 201\/o + 92\/(-10) + 9. Calculate the greatest common factor of 80 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350469 - 348324 = -143*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.3 - 853.7. Let l = -917.0659 - i. Round l to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 7*r. Let o be b(7). Suppose 2*d = -o*d. Is d != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 175*t + 389. Let q be y(-2). Solve -12*i - q*i + 306 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2 - 5*y**3 + 4*y**2 - 3 - 4*y**2 - 9*y. Let j be h(-6). Suppose -4*u + 4*f = -1028, 0 = -3*u + 6*f - 8*f + j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/29, -3, -0.1, -0.2, -128, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000836518118 to five decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1)\/(2\/(-20)). Suppose -n + 7 = -c. What is the highest common factor of 143 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**11))\/(x*x**5\/x))\/(x**(-1)\/x*x)**(-45) assuming x is positive.\nAnswer: x**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 31 = -3*w - 12, -2*w - 19 = -5*b. Solve -9 - 11 = 4*y - w*g, -3*g = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f + 1113 = 3*f - 655 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4251*y - 4251*y + 22*y**3.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 42244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 405078 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24367771 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-2) - (-5)\/((-500)\/(-590))) + (-7798)\/70\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) -5968\/9 (b) 0 (c) -2 (d) 1\/2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-117)\/450 - 4\/(-8). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*w - 10 = -128*w + 3*p, -4*w + 3*p = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(-19))**(-1\/15) assuming r is positive.\nAnswer: r**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.5 (c) -0.49 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjo when three letters picked without replacement from cwojswswjw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-72)*-20*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + n - 27 + 9 = 0, -n = k - 6. What is the thousands digit of 2*(9042\/12 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 107*i**3 + 108*i**3 + 9040 - 216*i**3.\nAnswer: -i**3 - i**2 + 9040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.046 - 11.146. Let y = -8.6 - r. Round y to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/12 + b**3\/2 + 36*b**2 - 4. Let s(z) = z + 4. Let i be s(0). Give l(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -0.29, -43.87205?\nAnswer: -43.87205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -19 + 13\/36*u**4 + 1\/60*u**5 + 2*u + 0*u**2 + 7\/3*u**3. Solve p(x) = 0.\nAnswer: -7, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054.9 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z + 23 = 4503. Calculate the highest common divisor of 116 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 divided by 4\nAnswer: -411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -4 (c) -0.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - g - 112 + 60)*(-g**2 + g**3 + g**2) + (g**2 + g**2 - 3*g**2)*(3 - 3 - g**2) - 12 + 12 + 2*g**3 + g**4.\nAnswer: g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6160 - 200?\nAnswer: -6360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/45, 2, -2\/7, -0.5?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 0)\/((-4)\/(-596)). Is ((-6)\/18)\/(2\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 1. Let b(f) = -5. Let q(i) = -b(i) - 5*l(i). Let o(x) = 8 - 5*x**2 + 4*x**2 - 8. Calculate q(o(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/3 and 36101\/167 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1594 = -5*t, 128 = 4*t - 4*w - 1140. Let a = -190 + t. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/17099278 and 32\/10992393?\nAnswer: 153893502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, p: 2, o: 3, t: 1, g: 4}. What is prob of sequence tpoo?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 1, c: 1, f: 1, e: 2, y: 1}. What is prob of picking 1 y, 1 f, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1116)\/(-6))\/(-2)*(-234)\/(-468)*8\/(-6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2 + 2)*(-1 + 2*p + 1) + (2*p + 0*p - p)*(32 - 655*p + 354*p + 288*p) to the form a + r*p**2 + h*p and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 20*c**2 - 9*c - 17. Let o be a(-19). Let i = 444 + o. List the prime factors of i.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/11595 and 51\/29521643.\nAnswer: 442824645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12 = -2*c. Let i = c + -2. Suppose -i*r + 4*b - 4 = 3*b, -5*b + 20 = 2*r. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1140981 = x, 0 = 1008*s - 1004*s + 4*x - 1521308. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuj when four letters picked without replacement from {u: 1, c: 2, e: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 0, 0 = q + 3*h + 32 + 29. Let n = q + 31. Let x = -34 - n. Let y(f) = f**2 + 4*f - 8. Calculate y(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 2, y: 2, z: 2, f: 4, e: 1}. Give prob of picking 1 f, 1 j, and 1 e.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 - t**3 - 3*t**2\/2 + t + 2. Let m = 58 + -54. Calculate the remainder when 9 is divided by c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 + 14*c**2 - 120*c - 1178. What is w(-9)?\nAnswer: 3223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*n = -204*n - 336. Solve -3*q + n*q - 10 = -5*j, 4*q + 2*j = 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*b**2 + 769*b**2 - 3*b + 623*b**2 - 2036*b**2 + 3*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -5*u**4\/24 + u**2\/2 - 4*u. Let y(o) be the first derivative of p(o). Let g = -1 - -2. Calculate y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-10))\/((-1)\/(2 - 8)). Suppose -r*p + 1786 + 31013 = m, 5*m + p - 163953 = 0. Let q = m + -19490. What is q rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 2. Let v(g) = 66*g - 1120. Let q(c) = 3*p(c) + v(c). Differentiate q(j) with respect to j.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 6501*h + 100*h**3 + 5*h**2 - 4*h**2 + 6500*h.\nAnswer: 100*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -2, -19, -42?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from swwswwwww?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -110492, -110477, -110452, -110417, -110372, -110317, -110252?\n\"Answer: 5*r**2 - 110497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21*34\/(-1071) - 26\/12. What is the fourth biggest value in 46, s, -1, 1\/4, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40524 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 16331037?\nAnswer: 16331042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 5, 0.03, -0.5, -5.4?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128762.53581 - 184997.035769. Let w = -56233.8 - z. Let d = -0.7 + w. Round d to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2321575314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*z + 72 - 9 = 0, -p - 2*z - 2 = 0. Let s = p + 16. Find the second derivative of -4*x**2 + 4*x**2 + 7*x**4 - 8*x - 14*x**s wrt x.\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1916.117 + -941.6. Let f = -976.516998 + l. Let d = -2 - f. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2768)\/4)\/4 - 2. Let h = p - -284. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290976271*l**4 - 2*l + 3431683?\nAnswer: -3491715252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5221*t + 14 = -5218*t + 4*a, 3*t - 5*a = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 237.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/16*(-54)\/378?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/615188 and 41\/2.\nAnswer: 615188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**4 - 4*k**3 + 4*k + 8. Let v(d) = 7*d**4 - 5*d**3 + 5*d + 8. Let o(i) = 5*n(i) - 4*v(i). Differentiate o(c) wrt c.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -52. Suppose 6*f - g = 4*f. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13733 - 2?\nAnswer: 13731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 - 1 - -9. Let q be 168\/(-35)*5\/(-4)*2. Suppose 8*w + q = 52. Solve w*f - 10 = 0, -1 = -x + 4*f - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2118492 and 13944?\nAnswer: 29658888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - 4*r + 4. Suppose 2*w = z - 2, z + 13*w = 14*w + 3. Suppose -32 = 5*t - 3*h, z*t - 8*t + h = 20. Calculate g(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -54264.\nAnswer: 5\/18088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00782735 rounded to 4 decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -138 times -15794.3\nAnswer: 2179613.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 2\/11, 31.025, -28?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0449 in -2, 25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 10*k + 6. Let b(s) = -s**2 - 9*s - 6. Let p(j) = -7*b(j) - 6*n(j). Let q(w) = 6*w**2 - 4*w - 7. Determine 5*p(l) + 4*q(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -20*f**2 + f + 53. Let b(z) = 7*z**2 - 18. Let i(g) = -17*b(g) - 6*s(g). Let c be i(8). Solve 4*y + 2*p = 24, c*y - 7 = -3*p + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -371, 65, 0, 5 in ascending order.\nAnswer: -371, 0, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06188734 to 3 decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56719 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + 0 - (-7 + -20).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkhhkkkkghkgkggkkk. What is prob of picking 2 k and 2 h?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 4*r - 5*o, 0*o = 2*o. Suppose 2*v - 3*v + 2*d = 83, -3*v - 245 = -5*d. Let g = v - r. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/12229956 and -23\/159660.\nAnswer: 61149780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 5:17 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -715 divided by -11?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - 22?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -10. Let t(v) be the first derivative of h + 19*v**6 - 20*v**6 - 4 + v**3. What is the third derivative of t(k) wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 26323 = -4723. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/3449?\nAnswer: 6\/3449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 0*q**2 - 4*q + 0*q**2. Let s be a(2). Let y = -1 - s. Solve 1 = y*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2031966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76118690?\nAnswer: 2, 5, 17, 447757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212.33 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d - d)*(0 - 1 - 1) + (28 + 20 + 5)*(-4*d + 3*d + 3*d).\nAnswer: 114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*p - z, -8 - 7 = 5*z. Suppose -5*q = -2*c + 3*c - p, -4*c - q = -65. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 20 = -2*m + 2*k, 5*k + 25 = 3*m. Let q = m - 2. Suppose -q*u = -2 - 22. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 25134, 25 in descending order.\nAnswer: 25134, 25, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52366, 104775, 157184, 209593, 262002, 314411?\n\"Answer: 52409*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52 - 29)\/(-27))\/((-1)\/7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -58774 and -21107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.54 (b) -5\/33 (c) 1928\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*h = -12, o = 3*o + h - 6. Let j be -6*(0 - o\/6). Solve -5 = -j*w + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, t: 3, e: 4, o: 2}. Give prob of picking 1 k, 1 t, and 1 o.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3 + 2*g + 0)*(2 - 2 + 4*g)*(0 - 6 - 5).\nAnswer: 88*g**2 - 132*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * -43.47.\nAnswer: -139.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5879*m + 1792 + 1883 = 5954*m for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4 + 1\/2*u**3 - 1\/2*u + 0 + 2*u**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 841 = -3*p, 6*p - 4*a = 2*p + 1168. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 21 = 19 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/18 + 2\/9. Sort 1\/2, -1, c, -18.\nAnswer: -18, -1, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 22.8312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2421 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1007 + 1038. What is the remainder when 115 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + (-25)\/(-15) + 1. Calculate the greatest common divisor of g and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -2 + 1 + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f - 440 = -18609 - 35207. Calculate the remainder when f is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -547600 (base 11) in base 6?\nAnswer: -30421354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6582507 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -4864.5 (c) 2\/7 (d) 0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 440112133 - -1?\nAnswer: 440112134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 93786, -75, 3 in decreasing order.\nAnswer: 93786, 3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - -22. What is the remainder when w is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + -6 - (-1 + 3). Suppose -k = -1, -r*k = -g - g + 2. Solve 4*j - 4 = 4*d, 0*d + 12 = -g*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*n - 2*n. Solve -1 = 2*r - 2*d + 7, -5*d - 10 = n*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-162) + (-8)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 66 = -12*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:07 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 732077785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, y: 4, c: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 - 4 = 0. Let j(r) = r**2 - 3*r - 7. Give j(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**6\/360 + y**5\/20 - y**4\/12 - 8*y**3\/3 - 15. Let x(o) be the third derivative of q(o). Determine x(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 51. Determine y(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 133 = 139 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2238.6361 - -2239. Let b = v - 0.3. What is b rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -0.04. Let v = -0.22 + f. Let x = v + -0.1. Sort -0.1, x, -0.5 in descending order.\nAnswer: -0.1, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -2.96. Let t = 1 - o. Let j = -180 - -175. Which is the second smallest value? (a) 3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*o**3 + 68 + 2857394*o - 2857394*o.\nAnswer: 121*o**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.181 - 2.981. What is the third biggest value in 0.5, w, -2\/9, 5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/256 (b) -0.07 (c) 3\/5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.1 - -868.1. Let d = -800.57 + q. Let s = d + -30.23. Round s to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -6) + -7 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 5*h = -3*r + 294, h - o*r = -0*r + 51. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1636 + -1638. Let i(d) be the third derivative of d**4\/2 + 32*d**2. Give i(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352221 greater than 352220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272 - -260. Is 72 a factor of l\/(-9)*(-2916)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (319 - 91 - 507)*(p**3 - p + p)*((-45 + 23 + 13)*(-3 + 4 - 4) - 4 + 4 - 1) to the form r + m*p**3 + d*p + t*p**2 and give m.\nAnswer: -7254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227373 (base 8) to base 15.\nAnswer: 6a9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42068255 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482288 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2 - 2*c**2 + 6*c + 7 + c**2 - 2. Is b(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 24*x**3 + 4*x**2 + 24*x.\nAnswer: -4*x*(x - 1)*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4616\/48 - 2\/12. Let t = -57 + v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959075?\nAnswer: 3, 5, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2217\/2 - 1108. Let n(u) be the second derivative of 0*u**2 + 0 - 4*u + t*u**3. Let f(d) = 4*d**2. Give f(n(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 90117 = -18*n. Is 1\/(-4) + n\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -30*k + 1070. Calculate i(37).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5\/3 + 1670*n**4\/3 + 151675*n**3\/3 + 1335730*n**2\/3 - 34234720*n + 66275040 = 0. Calculate n.\nAnswer: -156, -43, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -5, -1, -3 in descending order.\nAnswer: 148, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -1117\/7. Suppose -2*t + 6 + 0 = 0. Factor 8\/7*p**t + 0 + s*p**2 + 1\/7*p**5 + 0*p + 5\/7*p**4.\nAnswer: p**2*(p + 1)*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 2*a - 52, a = -3*h + 46. Let i = -509 + 588. Suppose 4*j - 5*g = 118, 4*j + 2*g - 211 = -i. What is the least common multiple of h and j?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*r - 14064 = 1781*r + 317*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1684 and 85\/18.\nAnswer: 15156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l + 106*l - 7 = 51*l + 2*k + 2, -9*k = -l - 67 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 70 = 5*v - 3*f, -v - 5*f - 13 = 0. Let a = 31 + v. Calculate the remainder when a is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.47 - -2.77. Let v = 5.2 - z. Which is the fourth smallest value? (a) -3 (b) 1 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1\/2, -1.08 in increasing order.\nAnswer: -1.08, -1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2424, 1688, 974, 282, -388?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 38, 0 in descending order.\nAnswer: 38, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.112360816 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161832?\nAnswer: 2, 3, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4808368\/121 - 39739. Find the common denominator of t and 117\/110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.1148 rounded to zero decimal places?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 64*c + 20*c = -848 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070\/(-25) + ((-168)\/15 - -4 - -7) - 8.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30093?\nAnswer: 3, 7, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.2651317 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*u = 3, 3*x - 3 + 0 = 3*u. Suppose 28 - 133 = -x*s. Let n = -125 - -186. What is the remainder when n is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 + 6*d**4 - 4*d**3 - 12*d**2 + 2*d + 6 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-9))\/((-3016)\/(-3393)). Solve 0 + 2\/3*h - a*h**3 + 0*h**2 - 1\/6*h**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n - n**2 + 0*n**6 + 1\/1176*n**8 + 1\/105*n**5 + 0*n**3 - 2\/735*n**7 - 1\/84*n**4 + 0. Solve f(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:30 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 divided by 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 + 8 - 4) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 8. Let z be i(-10). Suppose -z*g = 5*u + g - 176, -9 = 3*g. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/27, 4.\nAnswer: 5\/27, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 11*c - 9*c. Let p be ((-8)\/(-5) - 2)\/(c\/(-25)). Determine h so that p*h + 3\/4*h**2 + 0 + 3\/4*h**3 + 1\/4*h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19201553 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u**4 - 710*u**3 - 40785*u**2 - 28540*u + 11500 = 0.\nAnswer: -25, -1, 2\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -12. Let w = 4 - l. Suppose -w = -2*p + 2. Solve 2*v + 2*t = p, -2*t + 7 = -2*v + t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 5*a**2 + 3*a)*(0*a - 8 + a + 6) as q*a**3 + b*a**2 + k*a + s and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 180?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-16 + 13 - -3) - -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 9}. Give prob of sequence aaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from {v: 2, a: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -121 + (11 - -2) + (19 - 34 - -8 - 8)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/30 - 3*z**5\/20 + z**4\/3 + 17*z. Suppose f(q) = 0. Calculate q.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m - 26. Let b be (3\/m)\/1 + (-26)\/(-8). Let h be b + 56\/(-10) - 3. Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/6*2*31. Suppose 0 = -4*d + 75 + j. Suppose 50*s - 938 = -17*s. Calculate the greatest common divisor of d and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6118 or -128509\/21?\nAnswer: -128509\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*i - 6 = -3*i, 22 = -2*s - 5*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 7. Let r be 18\/(-27)*18\/(-4). Suppose 3*d - 12 - 20 = -4*u, 4*u - 8 = r*d. What is g(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*t + 1 - 2*t**2 + t**2 + 37*t in the form g*t + l*t**2 + m and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = -62*o + 2436. Solve 65*n = 58*n + o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000209788378 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 855357196 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 0*q**2 + q**2)*(2 - 2 + 2)*(2 - 6 + 0) as j*q + h + t*q**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4 - 377\/(-58)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 13*h. Let k(o) be the third derivative of h*o - 5\/6*o**3 + 0*o**4 + 5*o**2 + 0 + 1\/15*o**5. Differentiate k(j) with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 6*c + 20. Let n be k(0). Solve 30 = 10*j - n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (sqrt(204) + sqrt(204)*2 - sqrt(204)))\/sqrt(12)*5)**2 - sqrt(153)\/(sqrt(27)\/sqrt(3)*5)) + 2.\nAnswer: -sqrt(17)\/5 + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*i + 58.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -2 + 0)\/(3\/(-3)). Suppose -g - 4*s = -415 + 98, u = -4*s + 8. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 59. Let z = j + 14. Suppose 4*r - a - 19 = z, 5*a + 9 - 2 = -2*r. Solve d = r*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586739 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(700)*-4 + 4)**2 + ((sqrt(105)\/sqrt(5) - sqrt(21))*-2)\/(5*sqrt(3)*2))*-6.\nAnswer: -269184 + 7680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.41516 months in years?\nAnswer: 9.86793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327735431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 2)*(0*d**2 - 2*d**2 + d**2).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 4*g + 1, -2*y - 1 = -5*y + 2*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1372, 0.09, -87\/4 in ascending order.\nAnswer: -1372, -87\/4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18562 - 6192 + 4*o**2 - 6189 - 6181.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -327*y - 2. Let o(k) = 2*k + 3. Determine o(q) + v(q).\nAnswer: -325*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 + 0*m**2)*(15 - 22 + 2*m - 19).\nAnswer: 4*m**3 - 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t + 2. Let o = -55 + 51. Let m be r(o). What is the derivative of 11 + 32*c - m*c - 2*c wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/3879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 216?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -161, 18, 9, -5.\nAnswer: -161, -5, 4, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*h - 2. Calculate the remainder when (0 + 3)*44\/6 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:06 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 12*w + 9*w + 144 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5605740 and 1701?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276611 is divided by 275521?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8962 and 2624.\nAnswer: -6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186, -2483, -3850, -5287?\nAnswer: -6794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000011111101100110001 - -11?\nAnswer: -1001000011111101100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 (base 10) in base 16?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 50 = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/2 - 10996413*z**2\/2 - 5038376370336*z + 5038381868544 = 0 for z.\nAnswer: -1832736, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 17*m**2 + 22*m - 25. Let p be f(-10). Suppose 471*b - 1488 = p*b. Calculate the remainder when 285 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -646782\/65 - -9951. What is the common denominator of 51\/50 and f?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*k = -7*k - 35, -5*s + 3*k = 97. Let r be (-4)\/16 + s\/(-4). Calculate the highest common factor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8410252 + 36?\nAnswer: 8410288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1\/4 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1158718 or -1158781?\nAnswer: -1158718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -154 - ((-2 - (-12)\/4) + -1). Let y = c + -106. Round y to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - g + 9. Let y be n(-5). Let h(d) = d**3 + 7*d**2 - 4*d - 6. Let t(l) = -3*l**3 - 20*l**2 + 11*l + 17. Determine y*h(w) - 4*t(w).\nAnswer: w**3 + 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (16 + 8 + -19)) + -16 + 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s - 3*v + 79 = 0, v - 108 = -3*s. Let h be (-315)\/(-12) + 2\/(-8). Let o = -14 + h. What is the remainder when s is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624294116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(250) + sqrt(26) + 6*sqrt(156)\/sqrt(6))\/(6*(sqrt(50) + ((sqrt(500) - (sqrt(500) + (sqrt(500) - 2*sqrt(500)))) + sqrt(500))\/sqrt(10))).\nAnswer: 2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01830729 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.1 and -16377.\nAnswer: -67145.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1459465 divided by 6\nAnswer: -1459465\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (619 - 1232 - 165*q + 613)*(-3 + 4 + 0) + (4 + 2 - 4)*(2*q + 3*q - 4*q) - q + 6*q - 4*q.\nAnswer: -162*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c. Let i(s) = 1712*s + 71. Determine i(p(v)).\nAnswer: -32528*v + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 670*j. Let a(n) = -21*n**2. What is c(a(f))?\nAnswer: -14070*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 542931 (base 13) in base 11?\nAnswer: 1130108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -1, -3, 35, 3, 17053, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035400977 to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 6) + -6 + -1 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*l - 4*l - l)*(-3 + 3 - 2) + l - 11*l + 2*l)*(-7 - 10 - 7) - 2*l - l + l + (0*l - l - l)*(-1 + 2 + 0) as s*l + f and give s.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676, -2914, -6726, -12106, -19048, -27546?\nAnswer: -37594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 50 - 55 = 3*q, 12 = -3*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17711 is divided by 5821?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 4*s, 2*i + 4*s + 0*s + 18 = 0. Let c = 3.3 - 3. Let p = -90831 + 90828. What is the closest to i in c, -2\/19, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(18\/5)\/(a*a*(a\/(a*a*(a\/(a*a*a\/a**(1\/4)))\/a)*a)\/a*a*a**4) assuming a is positive.\nAnswer: a**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881183211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175269743 and 4917?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzofozzfzgofooozoozf. What is prob of picking 4 f?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -10952152.\nAnswer: -10952152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = -1. Let c be o\/5 + 5\/(-25). Suppose -2*k = -3*m + 151, -2*m + c*k = k - 89. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(-32)\/(((v\/v**6)\/v)\/(v*v**(-1\/6)\/v)) assuming v is positive.\nAnswer: v**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39b23a (base 15) to base 11\nAnswer: -16231a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 7 + 16. Solve 2*r = -z*x - 10, 5*r = -0*x - x - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -33. Let y be (-2)\/7 + c\/(-14). Suppose -4*w - 2*h + 36 = -6*h, -h = -5*w + 37. Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687 times 93490\nAnswer: 64227630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2292, 2296, 2300, 2304, 2308?\n\"Answer: 4*s + 2288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3351, -2680, -2009, -1338, -667?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16\/((-1 + 5)\/4) and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 10. Let q be d(-9). Let m = q + 16. What is the least common multiple of 22 and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide ((-39)\/(-12) - 4) + (-6570837)\/(-284)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 5*k - 936. Suppose -11505 = -5*s - g, s - 3*g - 2424 = -k. Round s to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 2\/7, 3, 1\/6, 1835, -4 in ascending order.\nAnswer: -4, -1\/9, 1\/6, 2\/7, 3, 1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (-1 + 2*sqrt(1573))**2 - sqrt(1573)*-1*-5) + ((1 + sqrt(1573))**2 + -2 - (-3*(-2*sqrt(1573) + sqrt(1573)))**2).\nAnswer: -6292 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:26 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from ldddldlddddddddd.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. Let w(l) = l - 2 - 2 - 4 + 6. Let z be w(7). Let u be o(z). Solve -u = 4*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 161*f**4\/12 - 137*f**2 - 4*f + 4. Find the first derivative of z(y) wrt y.\nAnswer: 322*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76777?\nAnswer: 76777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:36 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-12))\/((-3)\/8) + 20826. What is the greatest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497331 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.64 + -171.36. Let k = v + 172.999858. Round k to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010496 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 128*k**2 + 69*k + 66. Give o(-4).\nAnswer: 1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 244099793 from 10.\nAnswer: -244099783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17*y + 5. Let c(x) = -x**3 - 7*x**2 - 5*x + 1. Let q be c(-6). Let w be f(q). Suppose -2*g - g = -w. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z = -112*z - 135 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25339, 34760, 44181, 53602?\n\"Answer: 9421*g + 15918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**3 + 4*b**2 + 7*b. Let h(s) = s**2 + s. Calculate 4*h(l) - q(l).\nAnswer: -4*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*y + 908, 2*c + c = 5*y + 1386. List the prime factors of c.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-4) + (-13)\/26. Factor -x*s**2 - 14*s - 2*s**3 - 11*s - 7*s.\nAnswer: -2*s*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2*b**4\/7 - 2*b**3\/3 + 2*b**2\/7 + 918. Factor c(p).\nAnswer: -2*p*(p + 2)*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = -7. Let b(r) = -11*r + 4. Let i be b(z). Let k = i - -14. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6\/9 - 1) + 19\/3 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206)\/18 - 5 - -16?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1 + m - 12*m + 15*m**2 + 9*m. Let q be y(-1). What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + -6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 - (4 + (-4 - 0)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*p - 45 = 239*p. What is the nearest to p in -1, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y**3 + 4*y**3 + 5*y**3 - 22*y**2 to x*y**2 + a*y**3 + z*y + v and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810855827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/13 - 228*v\/13 + 54 = 0. What is v?\nAnswer: -117, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 20*z - 17. Let k be c(15). Let i = k + -24. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.0660593893 less than 29.8?\nAnswer: 5.7339406107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2109*h = 2106*h - 122, 10*h = -4*d - 476 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212243384.\nAnswer: 2, 1229, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 less than 175697546?\nAnswer: 175697442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2460525 and 510675?\nAnswer: 27065775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226246*t**2 - 14*t - 33879 wrt t?\nAnswer: -452492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 + 87*r - 173. Let h be y(15). Solve -3*k - 2 = g, -869*k = -865*k - 3*g + h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.003\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-2)*(-4)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101472127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 609*c**3 - 4*c**2 + 2198*c**3.\nAnswer: 1589*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by -1817.\nAnswer: 124\/1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 10 + 6. Let c(g) = -g - 2. Let b be c(-5). Is b not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 25 = -14 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22\/593 + 549\/1186. Which is the closest to 3? (a) 3 (b) n (c) 62 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1691434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 35. Let t = x + -59. Solve -2 + t = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/84 + 2\/(-12))\/1. Let t = -1.79 - 0.21. What is the third smallest value in 2, f, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824858688 divided by -192?\nAnswer: -4296139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*d - 2*i + 30, 5*d + 5*i - 35 = 0. Suppose 2*f - 19 = -3. Suppose 3*t - f*t + 15 = 0. Calculate the remainder when t is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150501 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -548 + 546. Let g = 0.48 + -0.08. Let u be 14\/4 - 2 - 1. Which is the second biggest value? (a) g (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*v + 2*v + 0 - v + 0 + 0 + (-2 - 2*v + 2)*(1 - 3 + 1) to the form z*v + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10535 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*p + 21, -2*y + 9 = -0*p + p. Let t be y\/(-1) + 4 + 48245. Suppose 5247 = -5*k + t. Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/3 - 11590*t**2\/3 - 16773614*t\/3 + 16808402 = 0.\nAnswer: -2899, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n - 17*n + 248 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/3 and -17\/114173?\nAnswer: 342519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.3 + -11.204. Let x = -3.904 - w. What is the third biggest value in 2, x, 1\/8, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000189 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (807 + -807 - (1 + (-1 - (-5 - -1))))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -29.66. Let g = -0.04 - q. Let i = -0.05 + -4.95. Which is the biggest value? (a) i (b) g (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, p: 4, u: 3, f: 9}. Give prob of picking 1 l and 2 u.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1000*y - y**3 + 996*y - 7235*y**2 - 3019*y + 1019*y)*(1 - 1 - 1).\nAnswer: y**3 + 7235*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 96.17791s?\nAnswer: 96177910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 8*j - 3. Solve 0 = -j*n + 5*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + 0 - (-2 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281 and 33158?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 616782, 616426, 616068, 615708, 615346, 614982?\n\"Answer: -q**2 - 353*q + 617136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1014 = 5*t - 76, o - 3*t = 469. Suppose -o = -3*m + 224. What are the prime factors of m?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s + 2637 = -27*s - 408 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 18 - 31 - 29 - 5*a. Calculate the least common multiple of c(-14) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26736312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 0 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 - 9)*(0 + 1 - 2)*(-2*w + 2*w + 2*w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-15))\/(2\/110). Let x be w\/8 + (-2)\/(-8). Suppose -2*b = x*b. Which is greater: b or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -e3e75?\nAnswer: e3e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**8\/t)\/t)\/t)\/((t\/(((t*t\/((t**(-10)*t)\/t)*t*t)\/t)\/t*t*t))\/t))**(4\/5) assuming t is positive.\nAnswer: t**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2653, 5271, 7875, 10459, 13017, 15543, 18031?\n\"Answer: -l**3 - l**2 + 2628*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8945547727 plus 1?\nAnswer: -8945547726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737?\nAnswer: 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 185.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24410 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -629.\nAnswer: -47\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1481 - -1480.7. Let k = 0.8 - 0.4. Sort k, 1\/2, 4, m in ascending order.\nAnswer: m, k, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:50 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 - 6*q - 3. Let k be p(-2). Solve b - 12 = k*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81*-0.1\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 116442 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6796962 divided by 7569.\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175745, -702988, -1581725, -2811956, -4393681, -6326900?\nAnswer: -8611613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Suppose 2*p + 1 - k = 0. Suppose -3*v - f = -45, 38*v - 33*v + f - 75 = 0. Solve 22 = -2*x - 3*s, x + 2*s - p = -v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190114\/209 - (6\/3 - 6)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0728735+-9.52\nAnswer: -9.4471265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.469448 centimeters to millimeters.\nAnswer: 84.69448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79.05 + 79. Which is the closest to 2\/3? (a) -0.5 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 1387\nAnswer: 9709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 706 - 706.2165. Let a = b + 0.1163. Let j = -0.1 - a. What is j rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1348856 >= -1348814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4. Let z be l(0). Suppose z*w + 62 = 6*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2. Suppose 2*w = -3*w + 30. Let y = 643 + -637. Let n(t) = 9*t**2 - 47*t**2 + 12*t**2 + y*t**2 + 16*t**2. Give w*n(v) - 5*m(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q**2. Let u(r) = r**2. Determine u(o(d)).\nAnswer: 81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, e: 9}. What is prob of picking 3 b and 1 e?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -1, -3, 1 in decreasing order.\nAnswer: 1, -1, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109227037 to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {z: 1, l: 2, g: 2, t: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 7 = -u + 2*f, -8*u + f = 4*f + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n + 4*r = -22, 2*n + 4*r = -16. Solve -5*q - 10 = -4*h + 1, -q - 5 = n*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b**2 + b + 1. Let h be g(2). Let v be 0\/(0 + 0 + h). Let a = -4.03 - -0.03. What is the third biggest value in 6\/5, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 14.9. Let s = -0.234 - -0.134. Let z be 12\/10*2\/6. Which is the closest to x? (a) s (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 4. Suppose -3*w = 2*w. Suppose 5*r - x = 0, w = 3*n + 2*r + 2*r - 17. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14*(-3)\/((-3)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 44. What is the nearest to 0 in u, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 712.424219 to the nearest integer.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 6*x - 866*x**2 + 1007*x**2 + 0*x**3 - 17*x**3.\nAnswer: -13*x**3 + 141*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**2 + 1\/60*h**5 - 1\/12*h**4 + 0*h + 0 - 1\/2*h**3. Let k be s(3). Solve k = -t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -42*f**3 - 7*f**2 + 9386. Let g(v) = -22*v**3 - 4*v**2 + 4690. Let p(b) = -11*g(b) + 6*m(b). Find the first derivative of p(s) wrt s.\nAnswer: -30*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 11 + 0 + 16*a with respect to a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, 0.2, 69, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517626.665 + 446.68?\nAnswer: 3518073.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + -5 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 11. Let s = -4 - 25. Let o = s + 36. Let i be c(o). Calculate the greatest common divisor of i and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 17*a = -45. Suppose -a = 5*j + 16. What is the remainder when 10 is divided by 2 + -3 + j\/((-5)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42723*i**2 + 22039.\nAnswer: 85446*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m**3 - 54*m**2 - 2*m. Let i(b) = 50*b**3 - 270*b**2 - 11*b. Calculate 2*i(d) - 11*u(d).\nAnswer: -10*d**3 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*g - 5*r, 4*g - r - 5 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 7, s: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from fkeeefeffs?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 + j - 2. Suppose 3*y - 3*p = 3, -y - 3*p + 3 = -2*p. Let v(m) = m**2 + y*m + 25 + 14*m - 3*m. Let h be v(-11). What is f(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + 8\/24*-9. Let n(c) = 2*c + 23. Let g be n(a). Let b(h) = -1. Let l(d) = 2*d - 5. Determine g*l(s) + 6*b(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s**2 + s**3 + 22*s**2 + 31*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200.4 + 169. Let y = 0.074 + -34.074. Let p = y - r. What is p rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1049 * 19560\nAnswer: 2051.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288391 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 128 * 5\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - 2a26?\nAnswer: -29a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*h + 55*h = 804 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -852 + 954. Sort 4, b, -3 in increasing order.\nAnswer: -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.6 - -8.659. Let o = -0.241 - t. Which is the third biggest value? (a) 31 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5234661*v - 77. Let y be d(-15). Let p be 2\/13 - (0 - y\/(-52)). What is p rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.108 + 0.892. What is the nearest to l in -2\/11, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20169 + 68953 = 4*p. Let c = 17735 - p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 24. Suppose 5*f - 3*f = c. List the prime factors of 7\/(5\/15 - f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:16 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - (3 - -10) - (-10 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-290)\/8 + (-27)\/36. Let a = 70 + s. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 139. Let d(m) = 15. Let v(p) = 10*d(p) - w(p). Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429516 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -16320.33?\nAnswer: -81601.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2634587542 to the nearest integer?\nAnswer: 51328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 13780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12286 divided by 5?\nAnswer: -12286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*y**2 + 5*y**2 + 9*y**2)*(-5*y - 12*y + 5*y)*(-3 + 1 + 0).\nAnswer: -1248*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106123.\nAnswer: 106123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 - 154. Let d be (-22)\/77 + r\/14. Suppose 3*p - 4*u - 4 = 5*p, 0 = -3*p - 2*u - 2. Solve 19 = -h - p*x + 4*x, -17 = d*h - 2*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + -10.3?\nAnswer: -110.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*o + 1821, 5*x = -110*o + 115*o + 9015. What is the remainder when x is divided by 297?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 6, z: 2, p: 1, b: 5}. Give prob of sequence lupl.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*x - 128*x - 3*x**2 + 33*x + 52*x + 4*x**2 + 17 - 6*x**3 as y*x + s*x**2 + d + k*x**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/1638)\/(6\/42).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44778\/36)\/17 - 4\/24. Suppose 0 = w + 4*w + 5, -3*v = 2*w - h. Calculate the remainder when v is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-924)\/(-176)))\/(15\/(-168)*-4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -570*r + 566*r - 24, 6*k + 22*k + r = -115 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(70) - (sqrt(70) - sqrt(70)*1)))\/((sqrt(110)*1 + sqrt(110) - sqrt(110))\/sqrt(11) - (sqrt(10) + 4*(sqrt(10) - (sqrt(10) + sqrt(160)))))*1.\nAnswer: 15*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y - 1. Let c be w(-6). Suppose -c + 220 = 3*q - 5*b, 0 = -4*q - 3*b + 213. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-2*v + 2*v + v)*(-112*v**2 + 579 - 579 + (0*v + v + v)*(4 - 2*v - 4) - 2*v**2 + 2*v**2 - v**2 + (2*v - 4*v + 3*v)*(0 + 0 - v)).\nAnswer: -236*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 446, 454, 460?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w - 10. Let l(s) = -24*s + 14. Let b(n) = -5*l(n) - 7*v(n). Let m(z) = 8*z**2. Give b(m(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + (16 - (-10 + 54 + -13))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 6*q + 3*q**2 + 2*q - 2*q - 2. Let f be i(-4). Suppose 10 - 18 = -f*g. Solve -6 = 5*l - a, 5*a - g = 4*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f + 2*q - 148, 5*q - 71 = -f. Suppose 43*i - f*i = 0. Suppose 6*u - 14 - 130 = i. Calculate the greatest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -204, -226, -248, -270, -292?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218 + 246 - 2714)*(-2*k + 0*k + k).\nAnswer: 2250*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144\/7*l + 144\/7 - 4\/7*l**3 - 4\/7*l**2 = 0 for l.\nAnswer: -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -4*z. Suppose 0 = -z*k - 0*k. Suppose h - 25 = -k*h. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4614, 4623, 4632, 4641, 4650?\n\"Answer: 9*l + 4605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/11 + 236*q\/11 + 234\/11 = 0.\nAnswer: -117, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from nfjcnjfe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/9 - 162608*g\/9 - 1652585104\/9.\nAnswer: -4*(g + 20326)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562, 558, 544, 514, 462, 382, 268?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 + 14*r**3 - 17*r**3 - 37*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 396572351 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -27 (b) -2\/25 (c) -0.05375 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:53 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -13457111639.\nAnswer: -13457111638.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -14 - 10. Let r(c) = 1 + 5 - 8*c**3 - 2*c**2 + k*c - 1 + 0. What are the prime factors of r(-3)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 10. Give v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**4 + 46587*w**2 + 9262.\nAnswer: 4*w**3 + 93174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101101011101101110 (base 2) to base 6\nAnswer: -3554050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - 4*p)*(-29533 - 3*p + 29533 + 52*p**4)*(-2 - 2 + 3).\nAnswer: 104*p**5 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/9 (b) -0.04 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 46, -2, -395 in decreasing order.\nAnswer: 46, 1, -2, -3, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9038131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 134161.\nAnswer: -7\/134161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*y + 19*y + 82*y + 120*y)*(34*y**3 + 40*y**3 - 11*y**3).\nAnswer: 11655*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 9*r + 4. Let l be (-65)\/(-20) - 1\/r. Solve -15 = 6*w - 2*w + m, -w + 6 = -l*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 319.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (-2*sqrt(168))\/sqrt(8))\/(sqrt(56)\/(sqrt(8)*3)))**2 - ((-4*sqrt(972)*1 - sqrt(972)) + sqrt(972) + -2).\nAnswer: 72*sqrt(3) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 276\/50 - ((-132)\/1025 - (-28)\/574)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 196, 178, 164, 154, 148, 146?\n\"Answer: 2*d**2 - 24*d + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*v - 35 = 0, -5*r = -3*r - 2*v - 38. Suppose 4*j - 5*q - 17 = j, 4*j = 4*q + r. Solve -j*f + 1 = 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*x - 34, x - 29 + 67 = -p + 24 + 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 63276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3201600*k**2 - 80*k + 3567.\nAnswer: -6403200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k + 7185 + 3474 = 1455 for k.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4480288 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l = -30. Let y(z) be the third derivative of 7*z**5\/60 - z**4\/6 + 3*z**3\/2 + 2287*z**2. Let k(r) = 4*r**2 - 2*r + 5. Give l*y(p) + 11*k(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + 2\/(-8). Let p(h) = 4*h + 3. Let j(u) = -5*u - 5. Let l(b) = -6*j(b) - 7*p(b). Calculate the remainder when 35 is divided by l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10132 and -1.1453528.\nAnswer: 10130.8546472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 7 (c) -33\/2 (d) -688 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(18) + 2))**2.\nAnswer: 432*sqrt(2) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -276.99999809 + 277. Round h to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus 1270.9390097?\nAnswer: 1268.1390097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 29?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:54 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 380\/9?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2+-88690467\nAnswer: -88690469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 23 = 4*g, -2*g + 3*g = -3*a + 4. Let b be 0 + -14 + (0 - 0). Let h be (2 - a) + (-10)\/b. What is the second biggest value in 4, h, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*w - 6165 = -288*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 5. Let b be (-2)\/(((-2)\/1)\/10). Suppose 24 = -0*i - 4*i - 4*q, -5*q = b. Calculate h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -27\/7 (b) 3 (c) 0.4 (d) -29 (e) -5133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16085 + 16148.952. Round u to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 17*n - 41. Is 14 a factor of x(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 20, -5*c + 2*b - 5 = 2. What is the tens digit of 38*2*c\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(539) - (sqrt(22)\/sqrt(2) + 3)**2 - (-1 + sqrt(396) + 1 + sqrt(396) + 2)**2.\nAnswer: -1608 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 1567 - 98 - 5862 as w*x + q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6042772 <= -6042772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223368217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1540 by -77.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29395 - -29396. Calculate the least common multiple of 33026 and n.\nAnswer: 33026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1129077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (1 - 1))*-5. Let u(j) = 2*j**3 - 7*j**2 + j - 5. Let i be u(g). Find the first derivative of -3 - 75*w + 5*w**4 - 1 + i*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 443365012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242\/731 + 1596338\/247809. Let h = 1062866\/113 - 9406. Let q = v + h. Calculate the common denominator of q and 4\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p**2 - 1131*p + 5965. What is m(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h - 24. Let r(b) = -b - 1. Let l(a) = 4*r(a) - z(a). What is the remainder when l(11) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g, g + 41 - 11 = 3*h. Suppose -2*j = p - 4 - 2, 5*p - j - 30 = 0. Let l = h - p. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(195\/(-54)))\/((-1038)\/8996).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from fzfrmcf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2 + 299*f - 9209 with respect to f.\nAnswer: 6*f + 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1024 divided by -1024.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/397901 or 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7494 or 7493?\nAnswer: 7493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 309 + g - 2*g - 300 - 169 to p*g**2 + r + a*g + t*g**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dff when three letters picked without replacement from {y: 2, d: 2, f: 4, p: 1, s: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122 times 431\nAnswer: 52582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 27 + 103*f + 27 + 27 to m + k*f and give k.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 13. Let u be i(10). Let a = 172 + -94. Suppose -a = -5*x + u. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.1707.\nAnswer: 0.01707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 15) to base 5.\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7549\/17 or 443?\nAnswer: 7549\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -26c?\nAnswer: -26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10394313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58626, -234513, -527660, -938067, -1465734?\nAnswer: -2110661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -917*a**5*y - 169499*a**4 + 284335391*a**2*y wrt a?\nAnswer: -55020*a**2*y - 4067976*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-7 - 5554) - -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 + 2*c**2 - 51*c + 96. Give a(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*i*q**4 - 2*i*q**2 - i*q - 9*i - 5*q**4 + 7 wrt q.\nAnswer: 204*i*q**2 - 4*i - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8288 plus 647?\nAnswer: 8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.059 + -0.059. Let v = 59.1 - y. Let q be (-2)\/(-13) - 1 - -1. What is the second smallest value in 0.2, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtn when three letters picked without replacement from ntrtgygtgnonotyr?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, -7, 0.5, -184.2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 and (-1)\/(2 - (-952)\/(-432))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213.01282 - 0.01282. Sort -0.2, 4, p, -2 in descending order.\nAnswer: p, 4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-130)*(-150)\/(-8)*80\/(-200)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -4*o**2 + 3*o - 3. Does 11 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 9*k**2 + 9*k - 11. Let w = 77 + -27. Suppose 0 = -4*j + p - w, -3*p - 13 = j + 6. Let l = j - -3. Determine r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c - 2 + 2*c**3 - 70*c**2 + 76*c**2 + 2 as i + g*c**2 + b*c**3 + n*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11994, 24600, 37206, 49812, 62418, 75024?\n\"Answer: 12606*q - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b + b. Let w be -2 + (0 - b) + (-5 - -112). Calculate the remainder when (w\/(-10))\/((-6)\/28) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4929382 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 9*s + 7)*(-1 + 2*s**2 + 1).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126 + -2 - (17 - 14) - 20) + 14?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232907 is divided by 1213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/4 + 205*o**4\/4 - 5759*o**3\/2 + 49331*o**2\/2 + 232703*o\/4 + 122317\/4 = 0.\nAnswer: -1, 13, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = p - 9, -4*p - 53 = 5*g. Let o = p - -24. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffofvfoofo. Give prob of picking 1 o and 2 f.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 426315\/124474 + -6184\/523. Let d = b + 59\/7. Suppose 3*k = z + 5, 3*k - 3*z = -8*z - 25. Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i + f + 3*f, 0 = -4*i - f + 9. Let c be -3 - (i - 2*6). Find the second derivative of -17 + 17 - c*d + 4*d**4 wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956681122712.45 + 0.3.\nAnswer: -956681122712.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 7 - 58 - 23*r**2 + 116.\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -17 + 38 + -19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.420003443 - 48.42. Round f to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from jjjjjjqmj.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*-4*sqrt(128))**2 + 3 + (sqrt(128) - (-4 + sqrt(128) + 2 - sqrt(128) - sqrt(128)))**2.\nAnswer: 64*sqrt(2) + 461319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 153*v**2 + 15*v. Let d(a) = 38*a**2 + 4*a. What is 4*c(s) - 15*d(s)?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3087 + -33982\/11. What is the common denominator of ((-392)\/20 - 3)\/(-2) and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 - -5. Let u = -0.3 - y. Let k = -4\/73 + 320\/511. Which is the biggest value? (a) k (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d + 5. Let t = -6.94 - 0.16. Let s = t + 2.1. Which is the second biggest value? (a) s (b) d (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + b**3 + b**3 + (0 + 0 + b**2)*(b - b + b) + 13*b**3 + 27*b**3 + 13*b**3.\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 24 - 26. Let q be 2*(2 - 0)\/2. Suppose -q*u + 0*u + 60 = 0. What is the least common multiple of j and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5579, -5583, -5589, -5597, -5607, -5619?\n\"Answer: -c**2 - c - 5577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-920)\/(-230))\/((-8)\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:21 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 4 + -2*sqrt(1573)*3 + sqrt(1573) + -5)**2.\nAnswer: -220*sqrt(13) + 39331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6396 - -6396. Factor -1\/2*j**3 - 25\/2*j - 5*j**2 + x.\nAnswer: -j*(j + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11310 or 11307?\nAnswer: 11307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4*i**3 - 6*i**3 + (0 - 2*i + 0)*(-4*i**2 - i**2 + 4*i**2) + 2*i + 2*i**3 - 2*i)*(-3 - 4 + 2) in the form m*i + n*i**3 + l*i**2 + k and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-8)\/6)*(-58854)\/(-68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -9\/2*q**2 + 0 + 0*q + 1\/2*q**3 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 * -112368\nAnswer: 1314705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2862 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1113, -3 in increasing order.\nAnswer: -1113, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 - (8 + -7 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15251621.\nAnswer: 7, 11, 198073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y + 100*y = 17020. Let z = 3 + 50. What is the remainder when y is divided by z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -a7?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r - 23. Let k be (-8)\/(-6)*36\/(-8). Let a(p) be the third derivative of -5*p**4\/24 + 4*p**3\/3 - p**2 - 50*p. What is k*u(i) - 17*a(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 364486983.53163.\nAnswer: 364486992.53163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*u = 76, 0 = 50*a + 474*u - 477*u + 198 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 44 - 4 = 5*j, 0 = 3*u + 2*j + 39. Let l(r) = 2*r**2 + 7. Let c(a) = -4*a**2 - 13. Calculate u*l(t) - 6*c(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/3))**(-42))**(-14))**45 assuming j is positive.\nAnswer: j**35280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018912900?\nAnswer: 2, 5, 353, 57193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 1, j: 5, q: 4, z: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5 + 4 - 58*g**2 + 47*g**3 + 59*g**2. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.3 + -90. Put 5, v, -47 in descending order.\nAnswer: 5, v, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*u, 0*n - 4*u = n + 36. What is the smallest common multiple of (n\/(-8))\/(2\/4) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -418*j**4 + 9*j**3 - 21*j**2 - 9. Let l(m) = -105*m**4 + 2*m**3 - 5*m**2 - 2. Let r(s) = 9*l(s) - 2*u(s). Find the third derivative of r(v) wrt v.\nAnswer: -2616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1103 + 188 + 529)*(3 - 5 + 3)*(-3*p - 4 + 4).\nAnswer: 1158*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -12) + 12\/(3 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:39 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaahhahaattathaaa. What is prob of picking 2 h and 1 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01419 and -0.5?\nAnswer: 0.007095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 25*q**2 - 19*q - 33. Let f be x(26). Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 3240.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(((-3)\/(-3))\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 18*q - 8*q)*(3 - 3 - 3) - 9*q + 2*q - 31*q in the form r*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/(((sqrt(2)*2 - sqrt(2))*-4 - sqrt(2)) + sqrt(2)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-291 - -302 - (18 + -1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 145 (b) 1 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(10296\/(-390)))\/(-3*(-10)\/216).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -170e?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 107266404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 109 - 122 + 84)*(9 - 3 + 5)*(-7*b**3 + 0*b**3 + 3*b**3).\nAnswer: -4972*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474436, 474437, 474438, 474439, 474440, 474441?\nAnswer: 474442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g - 70. Does 4 divide g - 5\/((-25)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494990*b**3*j - 2*b**3 - 2*b**2 + 10*b*j - 5440*b wrt b?\nAnswer: -2969940*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 6775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knnn when four letters picked without replacement from {k: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48311621 and 1048.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**5 - 1190*q**4 + q**3 + 2*q**2 - 4027*q + 1 wrt q.\nAnswer: -300*q**2 - 28560*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -666, -995, -1322, -1647?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/5 + (1 - 0). Let p = 3.9 + 1.1. What is the closest to -1 in p, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000615 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217163 is divided by 71310.\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351062?\nAnswer: 2, 257, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q**6 + q + 114*q**2 - 1\/210*q**7 + 127\/24*q**4 + 0 + 0*q**3 + 4\/15*q**5. Find the second derivative of w(v) wrt v.\nAnswer: -12*v**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 5. Let l be t(-5). Let p(v) = -l*v**2 + 15*v**2 + 9*v**2. Let y be p(-1). Solve -y = -5*j + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663256736.\nAnswer: 2, 20726773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823, 540, 259, -20, -297?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 8 + 0 + 0*l**2)*(1 - 2 + 3)*(2*l + 3*l + 0*l)*(-2 + 5 - 4).\nAnswer: -20*l**3 - 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104295353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -0.27 (b) 29 (c) 1 (d) 14\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.01 (b) 2\/3 (c) 1\/7 (d) -0.08 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-324)\/328)\/(-27)*(-12)\/9.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1.7602\nAnswer: -7.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10985 - -6423. Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and -37\/5636910?\nAnswer: 22547640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3377887720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 + 7*h**4\/24 - h**3\/6 + 5*h**2. Let a be y(7). Let u = 1 - a. Are 1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17190 + 1723 - 4432 + 5*x - 17*x**2.\nAnswer: -17*x**2 + 5*x - 19899","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/160 - 0) + (15\/35)\/((-152)\/133)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 + 14*j**2 - 46*j - 26. Let g(x) = x**3 + 3*x**2 - 9*x - 5. Let w(y) = 2*a(y) - 11*g(y). Suppose 3*q = -8 + 29. Let u = -13 + q. Give w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 47*f + 86, -10*f - 4708 + 4726 = 4*k - 9*f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 121966 * -124\nAnswer: -15123784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -35280*d + 34893. Determine z(1).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41222?\nAnswer: 2, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 11*f**2\/2 - 7*f - 8. Let h(n) = -5*n + 4. Let w(g) = -4*d(g) - 7*h(g). Let j(z) = 2*z. Give j(w(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -295800 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 + 19*c + 4. Give f(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/15 + 1\/3 + -1)*30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 4*c**2 + c. Let w be m(4). Let y(t) = -4*t**3 + 3*t - w*t**2 + 1 + 5*t**3 + 0. Let a be y(3). Put 3, -2, a in ascending order.\nAnswer: -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0398 (b) 5 (c) -0.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439612180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - (-80)\/(-12))\/((-5)\/(-375)). Let r(v) = -11*v + 1. Let u be r(1). Let w = u - -35. Calculate the greatest common divisor of b and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k - 5. Let p(u) = -16*u + 9. Calculate 4*p(n) + 7*s(n).\nAnswer: -8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - (117 - 145)) + -40.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - k)*(3*k + 0*k - 2*k) - 5*k**2 + 5*k**2 + k**2 + (-4*k**2 + 0*k**2 + 3*k**2)*(2 - 2 - 2).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1541052, -1541198, -1541346, -1541496, -1541648?\nAnswer: -1541802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from vnnkv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:38 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*q**5 - 3640*q**4\/3 - 1283924*q**3\/9 - 756872*q**2\/3 + 155824*q\/3 - 22816\/9 = 0. Calculate q.\nAnswer: -23, -2, 2\/21, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*(-18)\/(-270))\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 + 8*q + 10. Let u(o) = 11*o**2 - 12*o - 16. Suppose 0 = -6*m + 32*m - 208. Let v(f) = m*s(f) + 5*u(f). Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Let q(h) = h**3 - 3*h**2 - h - 3. What are the prime factors of q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18251598.\nAnswer: 2, 3, 3041933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/103922 and -99\/14846?\nAnswer: 103922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + r + 5, -75*m + r = -71*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -33*t + 10*t + 10*t + 15*t - 9 + 50. What is r(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuwtdzidtdduddduuu. What is prob of sequence udi?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6922 is divided by 209.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.29 - 0.11. What is j rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + ((-24)\/(-27))\/(-3 - (-175)\/63)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 18*o**2 - 10*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2115*p**5 - 3*p - 358 wrt p?\nAnswer: -42300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -36265293.351?\nAnswer: 36265286.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1134*x**3 + 785*x**2.\nAnswer: -6804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**22)\/h**13 assuming h is positive.\nAnswer: h**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 + 10*u**2 + 216*u. Let q(c) = 2*c**3 + 6*c**2 + 108*c. Let b(r) = 7*q(r) - 3*x(r). What is the second derivative of b(d) wrt d?\nAnswer: -6*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 727 - 15143*s - 727 + 25488*s to the form v + p*s and give p.\nAnswer: 10345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9781\/438 - 12\/73. Find the common denominator of 81\/4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94745 is divided by 7894?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 31*h + 251. Suppose 0 = -5*r + 3*p + 38, -3*p = 5*r - 8*p - 40. What is the least common multiple of c(16) and r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 - -52361?\nAnswer: 53060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 229\/182804?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -6*w - 635. Let o = w + 76. Let v = -866\/9 - -96. Which is the second biggest value? (a) v (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -0*v - 7 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002012221122121 + -10?\nAnswer: 12002012221122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n. Suppose n = -7*r + 55 + 393. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70224 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9))**(-38))**(-2\/43) assuming r is positive.\nAnswer: r**(152\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -1 - -3)\/1. Let c(m) = 22 + 2*m**2 + l*m + 6*m - 25. Let r be c(-9). What is the highest common divisor of 70 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*1 + -7 + 324.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (416\/364)\/(2\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3\/2, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 10. Let k be i(6). Suppose 3*l - 299 = -f - 54, -494 = -k*f - 5*l. List the prime factors of f.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let f = -3 - c. Suppose -3*v + 12 = -f*v. Solve v*n - 4*u + u = 5, -3*n - 5*u + 11 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p - 7. Let q(z) = 9*z - 8. Let n(w) = -6*b(w) + 5*q(w). Suppose 0 = 2*g - 4*i + 10 + 2, -3*i - 24 = 4*g. Does 10 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 14*p**2 - 11*p. Let f(j) = 18*j - 48. Let x be f(3). Let k be u(x). Solve -k*m + 9*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + (2 - -1 - (63 - 64)) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**5\/n)\/n**(-1))**(-3\/14)*(n**(4\/7)*n*n)\/(n\/(((n\/n**0)\/n)\/n))*n**2\/(n\/n**(-2\/3)) assuming n is positive.\nAnswer: n**(-25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 + 5*a + 7. Let s be j(-5). List the prime factors of s\/(-10) - (-5)\/25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 8*q - 5. Let d be p(8). Is 74*-1*(-6 - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -x - 2, -4*x - 101*n = -106*n - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3275 and 16985?\nAnswer: 11125175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 0. Let i(l) be the first derivative of -l**2\/2 + 641*l + 7. Is i(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 - 1863*f**4\/2 - 1623*f**3 + 464*f**2 = 0.\nAnswer: -464, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let l(f) be the third derivative of -3*f**4\/4 - f**3 - 2*f**2 + 119. Let x(h) = 100*h + 32. Let r(b) = 28*l(b) + 5*x(b). Calculate r(k(c)).\nAnswer: -4*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17395269?\nAnswer: 3, 2273, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173832717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -298? (a) -4 (b) 0.5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -13. Let f = c + -39. Let z = f - -60. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 25 = 3*j + 4*z, 4*z - 45 = -5*j. Suppose -31*o = -24*o - 21. Find the second derivative of 20*k**j + o*k - 15*k**5 - 7*k**5 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -67. Let l be (3 - 0\/(-2)) + -1. Suppose -l*u = u. Solve -y*p + u*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -59*j + 378. Let s be m(6). Calculate the highest common factor of 792 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (1 + 1) - ((-16 - 21) + -6 + 139)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.755652 rounded to 1 dp?\nAnswer: 71.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4496161 rounded to 1 dp?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27327649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.09, 0.09, -35, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) 2\/7 (c) 0.5 (d) -1\/3 (e) -2247\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**3 + 11\/12*z**4 + 40*z + 0*z**5 + 5\/2*z**2 + 0*z**6 - 1\/14*z**7 + 2. What is the third derivative of w(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/(9\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 78 = 0. Suppose 0 = 4*g - s - 38. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**3\/3 - 265*i**2 + 14045*i + 261. Solve s(l) = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-208)\/(-128) - 1)*4)\/(10\/8). Let z be (7 - 1) + (2 - 3). Which is the closest to k? (a) -0.5 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o + 2. Let a(y) = -12*y. What is a(l(w))?\nAnswer: -192*w - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 381 + -176. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2178 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1734, 6743, 15094, 26787?\nAnswer: 41822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 - -156 - (-5 + 73)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + m**3 + m**3)*(-11*m**2 - 2*m + 3*m + m)*(3 + 0 - 4).\nAnswer: -22*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/24 - 1593*r**2. Let q(z) = 1480*z. Give b(q(g)).\nAnswer: 1480*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-195)*2\/2. Let b = f - -109\/455. Let p be (1 + 0)*(-3)\/6. Is b at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + (sqrt(5)*2*4 - 2*sqrt(245)) + (1*sqrt(135))\/(sqrt(528)\/sqrt(11) + sqrt(3)))**2)*-4.\nAnswer: -3056\/5 - 432*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/4)*u*u)*u)**(-1\/60)\/((u**5\/u*u)\/u**(-5)) assuming u is positive.\nAnswer: u**(-479\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 1224 = -11*b. Let p = -170 + b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 + -6 - (53 + 4 + -12 + 20).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370686*p**2 + 1370879*p**2 - 2740968*p**2.\nAnswer: 597*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 67*j + 446. Calculate the smallest common multiple of c(-73) and 109.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -27*o + 4. Let x be f(5). Let g = -62 - x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 560.6506nm?\nAnswer: 0.0005606506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289111 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 + 2*o + 13. Let d be c(-7). Do d and -5\/39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 3. Let n be (-2)\/(5*8\/20). Let p = n + u. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/21 + 32*k**4\/21 + 26*k**3\/7 - 92*k**2\/21 - 40*k\/3 - 48\/7 = 0. Calculate k.\nAnswer: -2, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:20 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 3. Suppose -d*a = -33*a + 4. Let r(m) = -m**2 + 5*m - 1. Determine r(a).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*1*4)\/(-6*-2*sqrt(5)) + 1*(sqrt(187)\/(2*sqrt(11) - sqrt(11)) + 3))*-5)**2 + -1.\nAnswer: 200*sqrt(17) + 8816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66939 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68\/(-28) + 3\/7. Let g be -2*h*4\/(-8). Is g at least as big as -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 24*h**3 - h**2. Give l(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*a + 35 = 7*x, -5*x - 4*a = -40. Suppose x*v + 5*h + 2 = -1, 0 = -5*h - 15. Solve s + 19 = 4*l - 0*s, v*s + 2 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2199*u + 7364 = 2062*u - 2226 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66823 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1482)\/(-162) + -9)\/2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:01 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 35. Let p = g - -21. Let q = -5.7 + p. Which is the third biggest value? (a) 0.1 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -66. Suppose y = 19*b - 23*b + 84. Let w(c) = -2*c - 13. What is the remainder when b is divided by w(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:46 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 4*i + 43, 0 = -6*d + 7*i - 80 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by 329.\nAnswer: -118\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23914.18g in nanograms?\nAnswer: 23914180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + u + 2*u - 4 = 0, 8 = -4*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:03 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26798 is divided by 2722.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -129?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 - -21000?\nAnswer: 21104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 348 divided by 174\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 238, 466, 694, 922, 1150, 1378?\n\"Answer: 228*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20562001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f + 6. What is the units digit of q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199429 is divided by 4637.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5904114*8\nAnswer: 47232912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 300?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2. Let m(d) = -10*d + 8. Determine m(a(t)).\nAnswer: 20*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -796984 (base 10) to base 4.\nAnswer: -3002210320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*m - 27, -2*x = m + m + 6. Is 2\/3 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 679 = -3*u, 80 + 371 = 2*u - a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10 - 13*d + 4*d - 11*d**2 + 4*d**3 + 6*d**3 - 11*d**3. Let b be a(-10). Let k be ((-8)\/(-12))\/((-2)\/15). Sort -2, b, k in ascending order.\nAnswer: k, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11.3. Let m = 0.5 - o. Suppose 5*t = t + 4. What is the third biggest value in m, t, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5449, 4272, 3095, 1918?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7221087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3052*i - 272322. What is w(-89)?\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/(u*u\/u**0)*u**(-1\/3)*u*u*u\/((u**0\/u)\/u)*u assuming u is positive.\nAnswer: u**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9 = x. Put x, -4, 0.1 in descending order.\nAnswer: 0.1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Solve -d - 8 = 2*t, w = -0*d + 2*d - 4*t - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489421 or 9?\nAnswer: 489421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h**2 - 39*h**2 - 44*h**2 - 37*h**2 - 38*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-32)*h*h**(7\/8)*h*((h**5\/h)\/h)\/h**30)**(-6\/25) assuming h is positive.\nAnswer: h**(1347\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**3 + 3*s - 4. Give z(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 + -5.1. Let i = 1.5 + w. Let b = 0.700002 + i. Round b to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*s - 238*s + 665 - 597 = 4*t, 0 = -s - t + 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2. Let t be a(-1). Let y be (-2 + 17)*(-2)\/5. Is t\/y - 171\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 396 = -6*d. Let q be (-2 - (-1 - -2)) + 792\/d. Solve -q*i + 4*i - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 11 = 1. Let r(q) = -9*q**3 - 2*q**2 - 3*q - 5. Is 16 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 602, -3, 1 in increasing order.\nAnswer: -3, 1, 3, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23143 - -4104255?\nAnswer: 4131442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/7*52\/40 - 198\/330. Factor 3888\/5 + 3\/5*f**u + 216\/5*f.\nAnswer: 3*(f + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from {g: 2, t: 5, c: 3, b: 3, h: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -297*c - 3. Let d be h(-2). Suppose -5*q = -4*q - i - 154, -i = 4*q - d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49211, -196781, -442749, -787109, -1229855, -1770981, -2410481, -3148349?\nAnswer: -3984579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -13 in descending order.\nAnswer: 3, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 + 1817553?\nAnswer: 1817674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*p - 5. Let n be 42*-3*4\/p. What is the units digit of (1 - n)*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 540 + 4059 = 0. List the prime factors of u.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -4 - (6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 2. Let z(x) = 15*x - 3. Let g(i) = 5*y(i) - 3*z(i). List the prime factors of g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + 1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07189370717 - -0.071894. What is k rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 - 4951330*w**3 + 49513640*w**2 - 158444000*w + 158444160 = 0. Calculate w.\nAnswer: -990276, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*x - 1799990, -5*g + 133756 = x - 316234. Round x to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267 - -76. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5340 = 190*z + 414*z + 109*z + 9633 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzpphphhq. Give prob of picking 1 p and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 + 45*h + 20. Let f(c) = 2*c + 2. Let i(z) = 10*f(z) - y(z). Factor i(s).\nAnswer: 5*s*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 70823030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 1. Let w be j(2). Let u(m) be the second derivative of -1\/2*m**2 - 4*m + 0 - 1\/12*m**4 - m**3. Give u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412547.186 rounded to the nearest one thousand?\nAnswer: -413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -3656?\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 - -1679?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1245359189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 3, z: 5, a: 3, w: 3}. What is prob of sequence uaw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 - 164. Let d be 5 - -10 - (-1 + m + -1). Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/30 - 667*b**5\/20 - 725*b**2\/2 + 222*b + 2. Differentiate s(i) wrt i.\nAnswer: -4*i**3 - 2001*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72993560.\nAnswer: 2, 5, 1824839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13074740 less than -11?\nAnswer: 13074729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5803 + -5830. Let f be -1*2*39\/3. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5184037.\nAnswer: 31, 43, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 21*a + 8. Let i(u) = u**2 + 12*u - 4. Let z(w) = -5*i(w) - 2*p(w). What is the remainder when z(-15) is divided by -4*5\/(-2)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -25, -93, -231, -463, -813, -1305?\n\"Answer: -4*z**3 + z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -50 - (6 + -2 - (-19 - (-3 - 24))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 2*d + 5, -4*b = 5*d - 20. Let p be 4\/6*(-242)\/726. What is the nearest to d in 0.2, 5, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*z = -29, 23 = 4*o - 2*o - 5*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2167 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/95*68\/272\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + k - 1. Let r(b) = -489*b**3 + 9*b - 9. What is 4*r(y) - 36*v(y)?\nAnswer: -1884*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/4 + (35\/(-10) - -4). Is -31\/2 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 58 + 128 = 0. Let s be (5452\/(-145))\/(1 + (-6)\/10). Let l = z - s. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 6 + (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {d: 4, r: 2, a: 1, q: 1, t: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189403?\nAnswer: 37, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46345177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120116544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**3 + 4*h**2 - 7*h + 11. Let u(p) = -15*p**3 - 9*p**2 + 16*p - 23. Determine 9*a(m) + 4*u(m).\nAnswer: 12*m**3 + m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9771 - -0.0229. Which is the smallest value? (a) o (b) 2\/9 (c) 2\/7 (d) 105 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12044.942 - -12494.105072. Let r = 449.1 - z. Let o = r + 0.063. What is o rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4706*i + 108850 = -154686 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 0.036061 (c) 43 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 543, 0, -4, -0.227?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17271*p**2*t**2*x - p**2*t*w**2*x + 8799*p**2*w**2 + 2*p*w**3*x - 3481*t**2*w**3 - 4145*t*w**3*x wrt t?\nAnswer: -34542*p**2*x - 6962*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 3 (c) 2 (d) -367 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -464566 and 0.165.\nAnswer: -76653.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1303079, 2607027, 3910975?\nAnswer: 5214923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 96 - 312. Suppose -6*u - c = -3*u. Let v = 38 + u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5024 + 0?\nAnswer: -5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 33 + (-144 - -139)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 460, 4336.\nAnswer: -6, -1, 460, 4336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2780, 5532, 8264, 10976, 13668?\nAnswer: 16340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 3*a**4\/8 + 121*a**2 + 1. Let c(m) = m**2 - 5*m. Let h be c(6). Let y(i) = -h + 3*i + 6 + 0. Calculate y(n(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4*l + 7. Let t be u(-5). Differentiate 17*a**t + 2 - 1 - 3 - 1 with respect to a.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndndtonnndtdnhn. What is prob of picking 2 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*c - 2*i, -4*i + 15 = -2*c - 13. Does 3 divide (3\/(-2))\/(4\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101482569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o. Let k(c) = -2*c. Let j(n) = 5*f(n) - 16*k(n). Let h be j(2). Suppose 0*s - h*s + 12 = 0. Calculate the greatest common factor of s and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.04, -10.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -25740.3 and 46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 2, t: 6, s: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2068 and 32148?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 130. Is -8 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d = -58 - 38 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 9) to base 13.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -ee (base 16) to base 5\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:02 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-4)\/36 - (-123663)\/270. Let g = 4142\/9 - l. Find the common denominator of -143\/12 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*a + 4, -v - 9*a + 14*a + 5 = 0. Suppose v - 77 = -11*d. Solve -d*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*d = -161, -4*s = d - 0*d - 131. Suppose 0 = h + 2*k - s, -h - 5*k + 42 = -0*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - 56 - (-58)\/18 - -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 0, -1, 3\/4.\nAnswer: -1, 0, 3\/4, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/3 - 98*y**2\/3 + 190*y\/3 - 94\/3 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26803722 or -26803725?\nAnswer: -26803722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {p: 1, n: 1, j: 3, y: 7}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2 - 1. Let t = 13.04 + -8.04. Sort k, t, 2 in decreasing order.\nAnswer: t, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -2*m - w = 0, 3*k + k + 13 = -m. Does k = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 45. Suppose 0 = -7*j + 10*j + 35*j + 342. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (3318\/24)\/7. Let k = i - 15. Suppose -1512 = -4*t - k*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Let h = 3184 + -3177. Let a(p) be the first derivative of -3*p**2\/2 + 3*p - 1. Let y(b) = 2*b - 2. Give h*y(r) + s*a(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1927*m + 8. Let p be c(-4). Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 15*m**2 - 20*m - 6. What is q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, -3, -74 in descending order.\nAnswer: 5, -3, -4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 - 81*x**2\/7 - 3105*x\/7 - 24975\/7.\nAnswer: (x - 111)*(x + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005778 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -79. Let x(h) = 2*h**2 + 9*h + 9. Let b be x(s). What is the nearest to 0.2 in b, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 - 6*m - 4*m**3 - 2*m**3. Let n(z) = -z. Suppose 0 = 10*v + 18 - 138. Suppose -4*b + 11 = -3*k, -k + 5*b - v = k. Calculate k*j(p) + 6*n(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9076*w + 2 - 2134*w - 3346*w - 2107*w + 2 + (0 + 0 - 3)*(2*w - 1 + 1) + 0 - w + 0 to r*w + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 + 2*i - 9. Let z be q(6). Let u be 0 + z - (-1 - -3). Solve 0 = -k - u - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24397 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 21, 83, 201, 393, 677, 1071, 1593?\n\"Answer: 3*y**3 + y**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(65\/4186065) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723640 (base 10) to base 12.\nAnswer: 2aa934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -75*h**6\/8 + 1567*h**5\/20 + 27*h**2 - 37*h. Find the third derivative of x(d) wrt d.\nAnswer: -6750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 2*r**2 + r + 1. Let a be (15\/(-10))\/(6\/(-8)). Let i be w(a). Find the third derivative of -47*j + 47*j + 3*j**2 + 7*j**3 - 4*j**i wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -3 (c) 3\/8 (d) 0.2 (e) 0.24 (f) -768 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -87*j**2 - 170*j + 825. Determine q(3).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*(-18)\/2. Suppose -2*o + 4 = -0*o - 2*f, -t*o - f + 2 = 0. Suppose -o = -5*q - 6. Put 0.1, 1, q in descending order.\nAnswer: 1, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -195*((-279)\/(-54))\/31*(-2)\/(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*v = 11, 30*v - 28*v + 5 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7329 + 0.2671. What is the second biggest value in 0.5, 3, 2\/17, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 5*y - 1. Let l be g(3). Suppose 2*r + 21 = 5*p, r - 4*r - l*p = -16. Factor 0*d - d + d**r + d**3 - 21*d**4 + 20*d**4 + 0*d**3.\nAnswer: -d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 248359483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18701 is divided by 3125.\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 133 = -82*g + 80*g, -5*q + 61 = g. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*v - 18 = -7, 3*v = 12. Let m = 8 - f. Calculate the greatest common factor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25892 = 4*p, 5*w - p + 7281 = 50440. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*k**2 + 162*k**2 - 140*k**2 - 1144*k**2 - 450*k**2 to q*k + n + r*k**2 and give r.\nAnswer: -1814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*n = 4*f + 7192, n = -4*f - 9561. Let o = f + 14303\/6. Let l = -19963\/21 - -952. Calculate the common denominator of l and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 = 5*b, 3*f - 7*f + 26 = -2*b. What is the closest to 1\/3 in f, 1\/2, -1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 7. Let t(j) = -3*j - 8. Let p(c) = -4*t(c) + 5*z(c). Let x be (-135)\/36 - 1\/4. Let q(r) = 2*r - 3. Give x*q(h) + 5*p(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.744 + 0.096. Let o = c + -2.34. Let i be (1 + 0)\/((-8)\/(-48)). What is the second smallest value in 3, i, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35812 + 35901.164. Let k = -99 - -10. Let c = k + v. What is c rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r + 0*r + (-4*r - 2 - 3*r + 3*r)*(1 + 3 - 5).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 8. Let u be h(0). Let n be ((-3)\/2 + 0)\/(78\/u). What is the third biggest value in -0.6, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138549689*a**2 - 117471893*a wrt a?\nAnswer: -277099378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 greater than or equal to 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8357.\nAnswer: 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1319287792*a**5 + 56*a**2 + 5*a + 1584172.\nAnswer: 79157267520*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1386626781 to the nearest one million.\nAnswer: 1387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:54 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/3388 and -117\/5698.\nAnswer: 125356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 + 3*g**4 + 2*g**4 + (0*g**2 + 3*g**2 - g**2)*(5*g**2 - 3*g**2 - 4*g**2) - 3*g**4 + 3*g**4 + 4*g**4 - 14*g**4 + 10*g**4 - 39*g**4.\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:16 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 + 5*f + 1. Let j(o) = o**2 - 1. Let k(s) = -6*j(s) + u(s). Let z = -10 - -5. Calculate k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, s: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.846 + 3.846. Which is the third smallest value? (a) 400 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/120 - d**5\/20 + d**4\/24 + 7*d**3\/6 + 11*d**2. Let z be a(-3). Differentiate 10 - 1 + 33*u**z + 16 wrt u.\nAnswer: 132*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -45*h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3258492, 5, 3 in descending order.\nAnswer: 5, 3, -3258492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111111 (base 2) to base 7.\nAnswer: -1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) + -1) + 0)**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.0036. Round w to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 3. Let i be f(-4). Let q be ((-3)\/i)\/((-1)\/6). Suppose 0*v + 2*v = -2*l - 8, l + 5*v + 20 = 0. Solve 2*b = -l + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2749 and 10.904748.\nAnswer: 2759.904748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-16) + (-2)\/4. Let n be 13\/k + (-13)\/(-26). Solve 3*q + 2 = -n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -13*h + 7. Suppose 0 = 42*q - 48*q + 24. Sort -10, 5, q, h in descending order.\nAnswer: 5, q, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0.1, -3\/7, -1\/3, 0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - z**2 + 3*z + 1. What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:44 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 5*r + 5, r - 1 = 10*a - 11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, 21, -29\/2, -3\/4, 1\/3, -355?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*i + 670*i - 30612 = -64780 - 52969 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 8824 - 8173 + 505 - 313.\nAnswer: 2*b**2 - 16805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**3 - c**2 + 4*c. Suppose 0 = 88*o - 109*o + 126. Let t(g) = -13*g**3 - g**2 + 5*g. Calculate o*t(q) - 7*z(q).\nAnswer: 20*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29098.367 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, 21, 1\/4, 0.06481?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t - 1569 = 183*t + 76. Let v(n) = -4*n**2 - 22*n + 7. Give v(t).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 45 = 18*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34940 by -879.\nAnswer: -34940\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-76)\/14)\/(220\/308))\/(3\/(-3525))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. What is the nearest to h in 0.3, -0.5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 911*w**2 - 29930*w\/3 - 10888.\nAnswer: -(w - 2722)*(w - 12)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 7080 + 27*g - 7080.\nAnswer: -g**3 + 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.152*15.84\nAnswer: -2.40768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120057421.\nAnswer: 13, 240004417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 6. Let v = 1 - n. Suppose -2 = d - 3*p - 17, 0 = 4*d + 2*p - 4. Calculate the greatest common factor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35534120 (base 6) to base 16\nAnswer: -110a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -3 - (3 + -1). Let k = 6 - 4. Solve -i = k*v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53630 (base 12) in base 10?\nAnswer: 109764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-60)*-3)\/(812\/(-77140))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -165, -174, -183, -192, -201?\n\"Answer: -9*n - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 255552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2495 or -955343\/383?\nAnswer: -955343\/383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455005195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2575170 = 101*l - 30*l. List the prime factors of l.\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 + 3535*y**4 + 653195*y**3 + 9716265*y**2 - 69489900*y - 78556500 = 0?\nAnswer: -345, -22, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074851*f + 1075425*f + 74620 = 0 for f.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 170. Let n(i) = i**3 + 9*i**2 + i - 1. Does 22 divide n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 274. Let p = -92 + b. Suppose -7*c - p = -9. Solve 0 = -2*g - c + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let j(o) = -4*o. Let r(c) = j(c) - 3*w(c). Let p(x) = -x + 3. Let d be p(5). Determine r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 1147078336*h + 82236794307533056 = 0 for h.\nAnswer: -143384792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5960930 divided by -5\nAnswer: 1192186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, 5, 36.5822, 0.3, -3\/5 in increasing order.\nAnswer: -4, -3\/5, 0.3, 1\/3, 5, 36.5822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -4077937.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22250.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.106459 - -2.893395. Let h = w + -145. What is h rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 2. Let p be v(0). Suppose -15*m + 19*m - 16 = 0. Suppose m*w - 154 = -p. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - f - 1. Let c(r) = 7*r**3 - 14*r**2 + 19*r. Let b(t) = c(t) + 6*s(t). Factor b(k).\nAnswer: (k - 6)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2056e + 24?\nAnswer: -2054a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 304162\/45801 + -39\/727. Let b = -62\/63 - t. Find the common denominator of b and -71\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 12*l + 3747001*l**3 + 9*l.\nAnswer: 3747001*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01474 - 0.066?\nAnswer: -0.05126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000160452284 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d - 316 + 985 = -1815 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-1)\/1*-4. Let z(y) = 6*y**2 + y**3 - 6*y - 2*y + 0*y**3 - 3. Let s be z(-7). Solve -b*r + 0*r = x + 10, 5*x - 13 = -s*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 - 407597*h**3 + 2973181*h**2 wrt h?\nAnswer: -24*h - 2445582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07548205 + 0.42.\nAnswer: 0.49548205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40935820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 + -21. Let t be (-5)\/(-2)*(-37 - 1). Let h = y - t. Round h to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -26. Let v = 2 + 0. Let h be 5 - v\/(-4)*-2. Which is the closest to n? (a) h (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -50, -1\/6, 0.2, 1\/3, -1\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7599.8 - 0.3.\nAnswer: -7600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4, -18, 5 in descending order.\nAnswer: 5, 1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1872, 4688, 9364, 15894, 24272?\n\"Answer: -l**3 + 936*l**2 + 15*l + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywwlt. What is prob of picking 1 y and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 76 = -9*f - 14, i + 12 = -5*f. Let a(k) = -k**2 + 23*k - 91. Give a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200156 (base 7) to base 11\nAnswer: -23360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Let f = -84.3356 - -1.3356. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 26*y**3 - 2*y**2 + 5*y - 3. What is the tens digit of o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-238)\/(-17)*(-4)\/(-14))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 64, 97, 136, 181, 232, 289?\n\"Answer: 3*v**2 + 18*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -12. Solve -3*c + c - 4 = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 11558833001276.\nAnswer: 11558833001275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 27*j**2 + 2*j + 51. Give z(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 - 145 - 89 - 148*g - 149*g + 2*g**2 + 295*g as m*g + c*g**2 + b and give b.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3462?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 12 + 12 + 15*q**2 wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 28*p**3\/3 + 31*p**2\/2 + 161*p - 216. List the prime factors of f(-8).\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 9*r - 5. Let d be x(-10). What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/5 + n**3 + 8*n. What is the second derivative of m(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - (-22 - (-190 + 137))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-7)\/(-1190))\/((-11)\/22)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -21*i**2 - 9*i - 9. Let y(u) = -10*u**2 - 4*u - 4. Let h = 280 - 274. Let a(q) = q**2 + 3*q - 45. Let k be a(h). Give k*y(f) - 4*b(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 61, 97, 147, 211, 289?\n\"Answer: 7*a**2 + a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -52335 (base 6) to base 16\nAnswer: -1b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 45327?\nAnswer: 45326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/1187277 and -20\/637.\nAnswer: 8310939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -368*v**2 - 370971*v - 27212. What is z(-1008)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 16. Let w be k(6). Solve w + 10 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97726.81m in micrometers?\nAnswer: 97726810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000029674 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/(((-48)\/(-20))\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 7620?\nAnswer: 30480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/28*(-36)\/(-27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7694492 less than 22?\nAnswer: -7694470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d + 2. Let u(p) = 6*p - 2. Let i(j) = 7*k(j) + 6*u(j). Let a be i(2). Suppose 5*s + 3*m = 134, 2*s + 2*m + 44 = a*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.488776026 rounded to two dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, t: 1, r: 9, m: 2, p: 1}. Give prob of sequence od.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 218, 420, 688, 1022, 1422?\n\"Answer: 33*n**2 + 37*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 28.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 184*z - 116. Calculate m(61).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 15 - 92 + c - 6*c**4 + 41 + 2*c in the form y*c**2 + l*c**4 + d + t*c**3 + z*c and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1211.1898308 - -1236.18982. Let l = -25 + m. Round l to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-16) + 693\/12 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5180 and -15\/17612?\nAnswer: 88060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7216\/33*(-45)\/(-80)*164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33993, 72, -2, 6 in descending order.\nAnswer: 33993, 72, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 111694085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 1\/3 (c) 14.8 (d) 12\/19 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -2 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8) - 5\/(-15)*3. Sort f, 0.5, -2, -1\/3 in descending order.\nAnswer: 0.5, f, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 29. Let i(p) = 3*p - 3. Let s be i(-1). Let d be o(s). Let t = -4 - -6. Solve -d*w = -5*u + 30, -4*u + t*w - 4*w = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47104 is divided by 11771.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219760 + -2199447\/10. Let x = 912\/5 + w. Find the common denominator of 99\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454576.6 seconds to nanoseconds.\nAnswer: 454576600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/324976 and 79\/1584.\nAnswer: 32172624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 230 in -1, 52\/5, -1\/3?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 6*q**2 - q - 2. Let l(p) = -10463*p**3 - 6862*p**2 + 4*p + 8. Let k(f) = -l(f) - 4*z(f). Find the third derivative of k(d) wrt d.\nAnswer: 62826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**15*f\/f**(3\/4))\/(f**13*f*f*f\/(f*f**(-15))*f) assuming f is positive.\nAnswer: f**(-179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 4*c + z, 2*c - 4*c + 5*z + 231 = 0. What is the highest common factor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5716\/36*(-3)\/(-2). Let x = 239 - f. What is the common denominator of 9\/(-1)*(-6)\/8 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*g - 47*g + 3555. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.733 + -0.033. Let q = -0.3 - p. Put -0.1, q, 0 in increasing order.\nAnswer: q, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -24*l. Let v(s) = -s. Let c(z) = 2*p(z) - 60*v(z). Let q(y) = 2*y**2. Determine q(c(u)).\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 4. Let r be (-12)\/(-24)*n\/(-2). Suppose -o + 2*c = -r*o + 113, 0 = c + 1. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - (sqrt(130) - (sqrt(130)*4 + sqrt(130))*-5)))*-5)\/(sqrt(120)\/(sqrt(72)\/(sqrt(216) - sqrt(6)))).\nAnswer: -26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b23 + -118?\nAnswer: 10a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/40 + 23*b**5\/20 - 19*b**2\/2 - 27*b. Let l(u) be the first derivative of y(u). Find c, given that l(c) = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 11*l**2 + 11*l + 20. Let v(m) = 4*m**2 + 4*m + 7. What is 4*g(s) - 11*v(s)?\nAnswer: -4*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20475491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/70)\/((-6)\/(-4)). What is the closest to 2\/7 in y, -0.2, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -539 + 564.1. Let u = y - 50.7. Round u to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4 - 47514*s**3 - 19*s**2 - 225 wrt s.\nAnswer: 48*s - 285084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ca0 (base 16) in base 8?\nAnswer: 36240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52455, -52752, -53225, -53874, -54699?\n\"Answer: -88*t**2 - 33*t - 52334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670703?\nAnswer: 11, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and (-1380)\/(-80)*(-2 - 16\/(-6))*18.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*x = -161*x - 105. What is the remainder when 879 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/7 + 356*g**2\/7 - 29158*g\/7 = 0.\nAnswer: -239, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6268 - 2407 = -117*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27837 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 6*a + 2*a + 103, 3*f + 4*a = -81. Suppose 5*u - 217 + 382 = 0. Let c = f - u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 9. Let v be z(-4). List the prime factors of (-257 - v)\/(-1) - -1.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*i + 38, -2*u = -125*i + 121*i + 86 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -18*w + 1\/2*w**3 + 0 + 0*w**2. Let f(m) = 0*m**2 - 3*m**2 + 8*m**2. Calculate i(f(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v + 2366. Let m = v + 21269\/18. Let u = 70\/171 - 81\/38. What is the common denominator of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b0ba7a2 - -5?\nAnswer: -b0ba79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2 + 6 + 5*u**2 + 3*u - 1 - 3*u**2. Let h be 2\/(-4) + (-30)\/20. What is c(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/27)\/(2\/4). Which is smaller: l or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-18)*10 + (-13176636)\/(-198).\nAnswer: 13, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2 = q. Let u = q - -28. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - 1022\/(-8). Suppose -4*z + i = -c, -3*z + 32 = 5*c - 87. What is the remainder when z is divided by (-15)\/2*(-24)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 3*s)*((2 + 2 - 2)*(s - s - 2*s) + 3*s - 4*s - s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bb - -1da?\nAnswer: 5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4139 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*k + 14, -2*r + 4*k + 0*k + 26 = 0. Sort r, -0.3, -3, 10 in decreasing order.\nAnswer: 10, r, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/((s\/s**(31\/2))\/s*s)*s*s**7 assuming s is positive.\nAnswer: s**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2305070 to the nearest 10000.\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*p + 2*z - 49, -21 = -p + 2*z. What is the remainder when 36 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:46 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:57 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-132)\/20 - (-26)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.421 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4965355 rounded to three dps?\nAnswer: 0.497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/20*k**5 - 7*k**2 + 0*k + 0 + 0*k**4 + 0*k**3. Let h(j) be the first derivative of -2*j**3\/3 - 3. Calculate v(h(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) - (0 + sqrt(475))**2)*-1.\nAnswer: -3*sqrt(19) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 808206 and 1053423.\nAnswer: 1861629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 - -119. Solve 2 = -q*s + 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 112. Sort x, 0, 2, 4.\nAnswer: x, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324316 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 3*j**2 + 5*j + 6. Let p be n(5). Let c = p - -2155\/8. Calculate the common denominator of c and -15\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11.5. Let p = 0.1 + k. Which is the nearest to -1? (a) -0.2 (b) p (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 630 - -696. What is the smallest common multiple of h and 4?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -37. Let k = -1751 - -1819. Suppose 3*y - o = k. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16158\/(-150)*-45 + 3\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 - 3. Let s(f) = f**2 + 18*f. Let k = -16 + -2. Let z be s(k). Let a be o(z). Let j(l) = l**2 + 4*l + 2. Give j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 34.8. Let l = 2008.8 - 2009. Let t = v + l. What is the nearest to t in 4, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 3. Let m be v(1). Suppose -a = 3 - 7. What is the smallest common multiple of (-12)\/(-4) - m*-1 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 4*c**3\/15 - 348*c**2\/5 + 30276*c\/5 - 196. Find d, given that v(d) = 0.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 340 = 9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7, 3, 5, -36, 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1780 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/444 and (14 + (-7449)\/444)\/9.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -361, -363, -365?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:31 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14c - 0?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-286)\/10 + 31)*755\/(-2). Which is bigger: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Let b = d + 2. Solve -2*p + 5 = -t, t + 9 = b*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) -0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2545.23, 2\/3.\nAnswer: -2545.23, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*d**3\/9 + 148*d**2\/9 - 32*d = 0. What is d?\nAnswer: 0, 18\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z + 67. Calculate the remainder when w(-11) is divided by 141.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8378 by -142.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*2300\/2760*6\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/5 - 2612003*n**2\/5 - 10448033*n\/5 + 2612007 = 0.\nAnswer: -5, 1, 2612007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 720195131599.2.\nAnswer: 720195131603.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74795 and -0.435442?\nAnswer: 74795.435442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*r - 127 = 4873 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.95706 and -1194305.25.\nAnswer: -1194308.20706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/((-10)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162 and -267?\nAnswer: -43254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 9:32 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**4 + y**4 + 35*y + 1 + 3*y**2 - 12*y**4 - 39*y to j*y**4 + k*y**3 + m*y**2 + u + w*y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 8*z + 5*m, 953*z + 124 = 958*z - 4*m. Solve 5*i = 2*i - 15, 4*f + 4*i + z = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5061 and 723.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21151.\nAnswer: 13, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4599.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 25 = 1. Let n be 3 + (-5 - m\/(-3)). Solve -4*y + 0 + 4 = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/19)\/z)\/z)\/(z*z**(-18))*((z*(z\/(z\/(z\/z**(-15))))\/z)\/z*z)\/z**(1\/4) assuming z is positive.\nAnswer: z**(2333\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*x = 878*x + 10479 + 4821 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -95. Suppose -4*k = -3*g + 12, -3*k + i*g = -g + 4. Solve -5*c = 3*f + 3, k = 5*c - 3*f - 0*f + 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 681 (b) 8 (c) -47.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = 5*z - 137, 3*z - 4332 + 4269 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-2) - (4 - 1872\/8) is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 123, -5, -154 in decreasing order.\nAnswer: 123, 5, -5, -7, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015503063498 - -779?\nAnswer: 779.015503063498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 45.25, 0, 2, 3\/89 in descending order.\nAnswer: 45.25, 2, 3\/89, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**3\/3 - 23*z**2 - 332. Let v(k) = -13*k. Give v(x(y)).\nAnswer: 26*y**2 + 598*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -8506715?\nAnswer: -1\/8506715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 15*q + 560. Suppose -a + 4 = 3*a, 0 = 2*o + 4*a - q. Calculate the highest common divisor of o and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 608 - 586. Suppose 0 = n - b - 6, n = -3*b + 1 - 3. Suppose -z + 0*z + c = 3*t, -2*z + n*t = 6. What is the greatest common factor of 28 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12126 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1802361?\nAnswer: 1802361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 10.48.\nAnswer: 10.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 795401937 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/26156033 and -10\/8139.\nAnswer: 78468099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - x = 2*x + 129, -2*x = -j + 48. Suppose -20*s - 18 = -j*s. Solve 3*g + 1 = 4*y - s, -4*g + 4*y = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392348532 a multiple of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 168077 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.4. Let j = 24 - 731. Let h = j - -706.9. What is the nearest to h in 5, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 4*d)*(3*d**2 - d**2 - 3*d**2) + 745*d**3 - 374*d**3 - 11*d**2 - 377*d**3.\nAnswer: -4*d**3 - 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3442 is divided by 1300.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -16. Let f be (4 - 11)*(-18)\/n. What are the prime factors of 5\/((-93)\/138*f + -4)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3888 + 3.6112. Which is the biggest value? (a) f (b) -3 (c) -1473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5856 and 128?\nAnswer: 23424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 861342 divided by 143557?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.99 - 19. Let x = m - -0.41. Sort -0.5, x, -5 in increasing order.\nAnswer: -5, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*z - 693*z + 331*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 14. Let t be u(16). Let c = -22 + t. What is the second smallest value in -2\/11, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 22. Let l = s + -4. Suppose -15 = -c - l*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 12*r**5\/5 + 10292*r**4\/5 + 167404*r**3\/5 - 669332*r**2\/5 + 87944*r\/5 + 80736 = 0.\nAnswer: -841, -20, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w + 4. Let j be l(-6). Suppose 3*p + 5*r - 25 - 25 = 0, 0 = 2*p - r - 16. Find the third derivative of x**2 - x**5 + j*x**4 - p*x**4 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/((-40953)\/204)*(-110)\/28?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from qvaavbagqagbabqvvgqa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -62614800 rounded to the nearest 10000?\nAnswer: -62610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11585 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01078128 rounded to 4 decimal places?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:02 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (4 - 0) - -2. Let s be g + (-2564)\/(-32) - 2\/16. Let l = s + 2. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 58 = -6*m - 67 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, -0.5, 12 in decreasing order.\nAnswer: 12, -0.5, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169733?\nAnswer: 169733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + (-6 - 0 - -12 - (13 - (0 - -6)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9\/43354?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**2*h**3*n - 2*g**2 - 12328*g*h**3*n + 7*g*h**2*n - 76*h**2*n + h*n wrt h.\nAnswer: 24*g**2*n - 73968*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -24 - 159. Is 37 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47367*m**2*s**2 - 85*m**2*s + 4*m**2 - 2*m*s - 18*m - s**2 - 3*s wrt s?\nAnswer: 94734*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, m: 5, h: 2, k: 1}. Give prob of sequence nrkm.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*t**2 - 30*t**2 - 32*t**2 - 7*t**3 - 31*t**2 - 47.\nAnswer: -7*t**3 + 2*t**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 - -811. Let q = l + -526.99999563. What is q rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -131*v**4\/4 - 4*v**3 - 125*v - 1637. What is the third derivative of q(j) wrt j?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:13 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/6)\/((-10)\/(-675))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 281*d**2 + 14*d - 9. Let r(l) = -34 - 30 + 105 - 14*l - 34 - 277*l**2. Let j(a) = -6*r(a) - 5*y(a). Find the second derivative of j(p) wrt p.\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1113, -2227, -3353, -4497, -5665?\n\"Answer: -q**3 - 1107*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**7*a*a*a)\/a*a)\/(a\/(a*a**3)))**(-1\/15)*((a**3*a*a)\/(a**(5\/4)*a*a))**(1\/33) assuming a is positive.\nAnswer: a**(-223\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 7}. Give prob of picking 1 i and 1 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 3 + 2 + -454 + 478?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -258*n - 4381. Calculate k(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (96\/560)\/(((-66)\/(-20))\/(-11))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1292 + 1612. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*c + 602*c = 3*c + 6798 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174735078 and 42792264?\nAnswer: 2096820936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*h - 4*c, -3*c = 2*h + c - 30. Solve -4*v - 2*g + 5 = -h, -5*v + 17 = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**6\/18 + j**5\/15 + 11*j**4\/12 + 7*j**3\/9 - 5*j**2\/3 - 8*j\/3 + 5224. Let w(b) = 0. What is b?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 26*z**2 + 1876373*z\/2 + 90210 = 0.\nAnswer: -36084, -5\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -79*s - 5 + 80*s + 2. Let m(r) = 0 + 3 - 2. Let o = 5 - 9. Calculate o*m(d) - l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38674 (base 9) in base 15?\nAnswer: 7acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 37*v + 39*v = -13, 4*b + 5*v - 117 = 0. Solve -b = -4*f - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(((-9)\/2823)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004268485 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s**2 + 27*s**2 + 11 + 33*s**2 + 4*s**3.\nAnswer: 4*s**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392683030.\nAnswer: 2, 5, 39268303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 - -0.6. Let w = -4 - -2.5. Let d = -0.5 - w. Which is the nearest to d? (a) 3 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/2745 and 23\/33.\nAnswer: 30195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -542520?\nAnswer: 1\/180840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -378*l + 101748. Give i(269).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003703 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1667 + 62?\nAnswer: 16c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*q + 24661 = 0, 0 = -8*q + 6*q + 6. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0 + 17\/2*v**2 - 9*v + 1\/12*v**4 - 11\/6*v**3. Let n be l(8). Put n, -5, 1 in descending order.\nAnswer: 1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 24*c - 21 to the form h*c + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - 14 - (-74 + 48)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.049 + -20.251. Let h = p + 20. What is the nearest to -2\/3 in 1\/3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.003 - -34.997. Let a = i + -14. Let l = -21.0000085 + a. What is l rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-40)\/12) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31742*c + 43284 wrt c?\nAnswer: 31742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -108, -233, -408, -633, -908, -1233?\n\"Answer: -25*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3459 + 3459.0000003596. What is y rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2714419, -10857677, -24429773, -43430707?\n\"Answer: -2714419*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 50 = 4*x, -d - 3*x - 181044 = -181039 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 18. Let t(i) = -2*i**2. Calculate t(k(v)).\nAnswer: -32*v**2 + 288*v - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-228))\/(54*5\/45).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1236 - 0.0764. Which is bigger: 3.3 or r?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - (-2937)\/(-55). Let z = w - -97. Calculate the greatest common divisor of 484 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/17 - 152\/1717. Let h = -1141\/1010 - v. Is -2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -60. Suppose -2*h = 3*j - 39, 0 = 5*j - h - x - 30. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110101100000010110 (base 2) to base 15\nAnswer: ea431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15451, 1, -1 in ascending order.\nAnswer: -15451, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4064 times -6.7\nAnswer: 27228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 252*t**2. Let w(p) = 3*p**2. Determine w(n(z)).\nAnswer: 190512*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -635360 + 635460 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-52)*(-36)\/63. Let y = -2.4 + 2.5. Which is the second biggest value? (a) y (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(6\/(-15) - (-254)\/610). Let f = 190 - p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 2*p - 2*p**3 - 3*p**3 - 3*p**3 + 5*p**3 + (-23*p + 83*p - 24*p)*(p**2 + 0*p**2 + 0*p**2).\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -n - 1, -c = -7*n + 2*n + 9. Suppose n*t = 3 + 9. Suppose -g - 16 = -2*k, -2*k + 3*g + 23 = -1. What is the highest common divisor of k and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -365, -529, -675, -803?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 119\/6*h - 1\/6*h**2 + 20.\nAnswer: -(h - 120)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15487\/5 + -3097. Factor 2\/5*b**2 - y*b**5 + 0 + 0*b + 2\/5*b**3 - 2\/5*b**4.\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8935, -11646, -19011, -33358, -57015, -92310, -141571?\n\"Answer: -388*a**3 + a**2 + 2*a - 8550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90261889840 - 21.\nAnswer: 90261889819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3650.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 26 = 5*m - d, -5*d = 4*m - 54. What is the smallest common multiple of 26 and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73989, -73991, -73991, -73989, -73985, -73979?\n\"Answer: k**2 - 5*k - 73985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27916 = 3*r + 2*v, -21227 + 58456 = 4*r - 5*v. Factor 35*m + 22 + 9301*m**2 - r*m**2 + 18.\nAnswer: -5*(m - 8)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 + 1. Let x be (1 + 0)*(-10)\/(-2). Suppose 1 = -x*k - 4. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133 + -110 - (16 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(700) - (sqrt(700) + 1)))**2 + sqrt(700) + -5*sqrt(700) + 0 - (-4*(1 + (2 + sqrt(700) + sqrt(700))**2 + sqrt(700)) + -2).\nAnswer: 320*sqrt(7) + 11226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (416\/2392)\/(14\/2737)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 627*w**4 + 1392*w**3 - 6681395*w.\nAnswer: 7524*w**2 + 8352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(121)*-1)\/(-6*sqrt(1100))*-2 + 4.\nAnswer: -sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3\/5*x**5 + 10 + 0*x + 3\/4*x**4 + 0*x**3 + 0*x**2. Find d, given that y(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, -5\/13, 4\/5, -0.2 in descending order.\nAnswer: 4, 4\/5, 0.3, -0.2, -5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4223*x + 6931*x - 4417*x as o + z*x and give z.\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -8. Let l(k) = 3*k. Let w be l(x). Suppose -f - w*f + 56 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*k = 0, -2*k - 43 = -2*d - 37. Which is the nearest to -1? (a) 3 (b) -86 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 9*d - 4*d. Let k(x) = -x**2 + 9*x - 9. Let j be k(d). Let a = j + 35. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 644186, -0.5, 0.904 in ascending order.\nAnswer: -0.5, 0.904, 644186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10110110001?\nAnswer: -10110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (459\/1020)\/(4\/(-80))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284371584998 take away 21.2?\nAnswer: -1284371585019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -71*t**2. Let d(a) = 6963822*a**2. Determine d(b(g)).\nAnswer: 35104626702*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*v + v + 107, 15 = 5*v. Suppose -4*z + d = -54. Calculate the smallest common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 17*k - 9. Let d = -947 + 930. What is p(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 5*m, -2*g - 2*m - 2 = -20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32 (b) 0.4 (c) 8 (d) -42011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2289 - -0.4679. Let x = 67 - 67.118. Let o = m + x. What is o rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)**(-11\/2)\/(x*((x\/(((x*x\/(x\/x**(1\/3))*x)\/x*x)\/x*x))\/x)\/x*x)**(-16))**(2\/39) assuming x is positive.\nAnswer: x**(-227\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(891) - (sqrt(891) + -2)) + -5*(sqrt(891) + 1))**2 - ((0 + sqrt(891))*-1*-3 + -4).\nAnswer: 423*sqrt(11) + 22304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 34*x + 139. Let h be b(-4). Find the second derivative of h*l + 37*l + 52*l**3 - 2*l + 222*l**3 wrt l.\nAnswer: 1644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*1\/(-1) + 46\/((-1155014)\/(-275961))?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 11. Does 7 divide n(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*g + 4*g - 45, -2*l + 279 = 5*g. Let k = 195 - g. What is k rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 5602777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -6 + (15 - (1 + 0) - (132 + -125)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 42*n = -q + 14586, 0 = 2*q + 2*n - 29184. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 100.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from {b: 2, o: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43065 + 45?\nAnswer: 43132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 1\/6*y**4 + 0 + 2\/3*y**3 - 3\/2*y**2 - 3*y. Let z(n) = -2*n**2 - 3*n + 2. What is -3*o(a) - 4*z(a)?\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**6\/45 + 103*g**4\/24 + 5*g**3 + 6*g + 24. Let u(x) be the third derivative of q(x). What is the derivative of u(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 1:40 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 4, m: 3, g: 1}. Give prob of sequence mg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -563 + 568. Suppose -y*q = -u + 5, 3*u + 42 = -5*q + 17. Let s(g) = 3*g + 17. Determine s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 2*d**5 + 0*d**5 + (3*d - d**3 - 3*d)*(-4 + 4 + d**2) + 722*d**3 + d + 2*d**5 + 5*d**4 - 722*d**3.\nAnswer: -d**5 + 5*d**4 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 1, c: 4, o: 9, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 27, 79, 159, 273, 427?\n\"Answer: n**3 + 5*n**2 + 8*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 10 - (-14 - (100 + 8))?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-78)\/(-260) - (-8788)\/40 and 50.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255839991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799741 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 10*r + 42. Let x be j(7). Let y be 1\/(-3) - 2\/(-6). Let w be -1*(y + -1*7). Calculate the highest common factor of w and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:08 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*d + 60*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(19) - (1 + sqrt(57)\/sqrt(3))))**2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 15. What is the greatest common divisor of c and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from pcpascgkaaccgk.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5526*v - 20540*v - 65645*v + 13345*v.\nAnswer: -78366*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806800 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -3*r. Let o = 0 + r. Let q(f) = -3*f**2 + 3*f + 2*f**2 + 6 - 2*f. Let z(t) = 2*t**2 - 2*t - 13. Calculate o*z(d) + 13*q(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.664 times -6?\nAnswer: 3.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.27373661 + -15.27373201. Let c = w + 14. What is c rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d + 2008 = 2*a, -4*a + 1604 = -4*d. Let c = d - -578. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooqoooooqoooo. Give prob of picking 1 q and 3 o.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (-53 - 160) - 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 and -77\/2132?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -953 + 962. Let q(v) = -v + 27. Determine q(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qww. What is prob of sequence qw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*-1*1)\/((-97)\/(-291)). Suppose -5*w + 2*v = -54, -15 + 0 = -2*w + s*v. What is the greatest common factor of 78 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*z**2 - 196*k**3*z + 1253*k**3 - 3*k**2*z**2 + 12498*z**2 - 26*z wrt k.\nAnswer: -12*z**2 - 1176*z + 7518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -3905819.\nAnswer: 7030474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4433 + 4449. Which is the smallest value? (a) r (b) 14 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 13*s - 63. List the prime factors of k(-13).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Suppose -5*z + 7*u - 12*u = 10, 0 = -5*z + 4*u + 26. What is the derivative of 7 - 17 - l - 19*q**z wrt q?\nAnswer: -38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8496 and 73\/10620.\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.541 rounded to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - 9 - -8 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9 - 425\/2295.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/7 + 4\/(-14). Let b(c) = -c**2 + 2 - 7*c + 2*c**2 - c. Give b(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*n*t - 479*n - 2*t wrt t?\nAnswer: 21*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - 154. Let f be 4\/(-14) - s\/(-21). Suppose 4*y + d - 1 - 4 = 0, 0 = -2*y + d + f. Solve -3*g = 6, 0 = 5*c + 4*g - y*g - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/20 - w**4\/24 - 17*w**3\/2 - w**2 - 53*w. Let g be x(5). Which is smaller: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 7*z + 12. Let f(x) = x**2 - 5*x + 6. Let m be f(5). Let a be h(m). Suppose -2*t + c = -135, -t + a = 8*c - 5*c. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 2119 = -9*z + g, 3*z - 7*g - 3173 = 0. Calculate the greatest common factor of z and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76204437 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(-1 - 2 - 5 + (-1 + 1 + 2)*(-1 + 1 + 2)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856924 + 856924 - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*d - 537*d - 701*d = -30390 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 326025 less than -333147.6?\nAnswer: -659172.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30 = -0*c. Let w = -7 + c. Find the third derivative of n**2 + w*n**4 - 5*n**4 - 4*n**4 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1461, 1435, 1409, 1383, 1357?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4, 95, 10, 110, 0?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.244 rounded to 0 decimal places?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*w + 12*w + 7*w - 1)*(0*w**2 + 0*w**2 - 5*w**2).\nAnswer: 140*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37409579 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*a - 52. Let i be (20\/(-12) - 0)*-18. Let u = a + i. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2841490549.\nAnswer: 97, 29293717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/26835 and 83\/135.\nAnswer: 241515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242\/105 - -12\/5. Let y = 6202 - 6201. Which is the closest to m? (a) y (b) -0.5 (c) 1\/3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 15*x - 4 - 8 + 26 wrt x.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 1907.\nAnswer: 1907.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30*i - 709 = -33*i, 5*f + 4*i = 1783. Let x = f + -358. Which is bigger: -3\/149 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.86404 weeks in seconds?\nAnswer: 51325771.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4627*l**2 - 7*l**3 - 9255*l**2 + 4628*l**2 - l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a**2 + a. Let u(m) = 41*m**2 + 3*m. Let z(h) = 17*f(h) - 6*u(h). What is the second derivative of z(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*1)\/sqrt(5) + sqrt(13))**2 - (sqrt(325)*2)**2) + -4.\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9509.283 centuries?\nAnswer: 950.9283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26094, -26169, -26374, -26775, -27438, -28429?\nAnswer: -29814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 11*r**2 - 4*r + r**3 - 8*r**2 - 2*r**4 to w*r**2 + c*r**3 + k*r + i*r**4 + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 488341741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3559135*t**3 - 7118280*t**3 + 3559129*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -20, -75, -182, -359, -624, -995, -1490?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1980 divided by -220\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27365883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43925 + -30524. List the prime factors of y.\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807554.2ml to litres.\nAnswer: 807.5542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 566043.\nAnswer: -1\/188681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74 - -85) + (-5 - 2))*260\/200.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*f - 1 + 473*f + 188*f.\nAnswer: 913*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from iyoymoommdiimqyd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.1 - 1.1. Let y = -4362 + 4360. Suppose 0*r + 2*r - 12 = 5*p, 0 = -2*p - 5*r - 28. What is the closest to y in c, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -2 - -15 - 9) + -55\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/9))\/q**(-3))**43\/((q*q**10)\/q**(-4))**(9\/14) assuming q is positive.\nAnswer: q**(21059\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**39\/(c*c**5))**(-1\/9) assuming c is positive.\nAnswer: c**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 - 506 = 2*m - 5*o, 0*o + 2*o = -2*m - 18 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/22, 12, -2\/5, 200\/39 in ascending order.\nAnswer: -2\/5, 3\/22, 1\/4, 200\/39, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from {n: 7, g: 1, v: 3, o: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/4)\/y))**26\/(y*y**(-1\/4))**(-14\/9))**(-1\/2) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*l + 5*u - 2, -15 = 3*u. Differentiate 3*z + 27 - 17*z**4 + 6*z**4 - l*z**4 with respect to z.\nAnswer: -64*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**5 + 145*u**3 + 31*u + 1 wrt u?\nAnswer: -40*u**3 + 870*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**2 + 130*z + 3. Let p(u) = -u. What is p(f(g))?\nAnswer: 9*g**2 - 130*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and 730390?\nAnswer: 43093010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.76 + -23.56. Which is the third biggest value? (a) f (b) 0.168 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*t**6 - 46*t**5 + 7*t**3 + t**2 + t + 110.\nAnswer: -1440*t**3 - 2760*t**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 + 8 + -7. Sort -0.5, -0.3, 1\/16, v in decreasing order.\nAnswer: v, 1\/16, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - 3*n + n + (30 - 20 + 11)*(2*n - 3*n - n) to c*n + t and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-11))\/v)**13 assuming v is positive.\nAnswer: v**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veve when four letters picked without replacement from eeeeeeveeevvee.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y - 2. Let t be h(2). Suppose 0 = t*s + o - 356, 0 = -3*s - 2*o - 92 + 359. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, s: 4, g: 2}. Give prob of picking 3 s and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + (3*sqrt(2057))**2 + sqrt(2057) + -1 + -5 + sqrt(136)\/sqrt(392).\nAnswer: 155*sqrt(17)\/7 + 18507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.14 - -0.58. Round n to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 12 + 12.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4. Let a(p) = 2*p + 24. Let h(s) = a(s) + 6*r(s). Let c(t) = t**2 + 5*t - 1. Determine -2*c(o) + 5*h(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (80\/6)\/(-8)*270\/(-225). Solve -d*s = -m + 12, 0*m + 2*m - 20 = 3*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/(-28) - 18\/(-63).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 20 - 20 - 428*f.\nAnswer: 2*f**3 - 428*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:22 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -3. Let w be 8 - (-912)\/(-42) - -14. Which is the closest to -1\/4? (a) -2\/15 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**3 + 65*z**3 - 30*z**2 + 30*z**2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + 8 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 73*k**2 + 147*k + 257. Calculate z(75).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -41292.733?\nAnswer: -41292.733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90117970 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318 + -228. Let i = -276 - d. Let v = i + 23. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -55*b**2 - 2138. Let c(g) = 20*g**2. What is l(c(p))?\nAnswer: -2200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/260 and -58\/91?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (-46 - -39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13734 - -16233. List the prime factors of i.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61.94 - 2.6\nAnswer: -64.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 83 = -4*h + 2*d, -4*d + 27 = 3*h. Suppose -3*z + 5*z - 178 = 0. Calculate the remainder when -2*(-3)\/6*z is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7991 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 110103223?\nAnswer: -110103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -1, 4477, -190?\nAnswer: 4477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/6 - -39)\/((-4)\/28*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 4*g)*(-1 + 3 - 1)*(124 - 202 - 227).\nAnswer: -915*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8615, -8832, -9049, -9266, -9483, -9700?\nAnswer: -9917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -833, -1249?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6922, -6924, -6926, -6928, -6930, -6932?\nAnswer: -6934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 12:52 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30204 - -2?\nAnswer: -30202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(((j*j**(1\/4))\/j)\/j))\/j*j)\/(j\/(j*j*(j*j**(4\/7)*j)\/j))*j**11\/j**(4\/7))**9 assuming j is positive.\nAnswer: j**(531\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/5 - 127656*u**2\/5 - 4074141237*u\/5 - 8147771858\/5 = 0.\nAnswer: -63827, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000105812715 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 10*j**2 + 54*j - 241. Let r be x(7). Put -4, 3, -1, r, -3 in descending order.\nAnswer: 3, -1, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51554 is divided by 16276.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33139263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 211*-3*(-4 - 0)\/(-4). Let d = w - -996. Let y = d + -259. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1725328 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*w**2*y + g**2*w*y - g*w**2 + 5*g*w*y - 3*y wrt g.\nAnswer: 8*w**2*y + 2*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -109*p**6\/3 - p**5\/5 + 94*p**3\/3 + p**2\/2 + 2*p - 11522. Find the third derivative of g(f) wrt f.\nAnswer: -13080*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14021221?\nAnswer: 19, 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -914.000003439 - -914. Round d to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uulumuumlumuumuf. Give prob of sequence ufl.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42*(-2)\/(-4) + -4. Suppose 2*r = 4*a - k - 5, 0 = -3*a + 2*r + 18. Let m(v) = 83*v - 3. Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1\/3 + 5560\/24.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3824625610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78 and -3671.\nAnswer: -3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.24 * -0.9.\nAnswer: -46.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -51555, 2, -4, 271 in ascending order.\nAnswer: -51555, -4, 2, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.6 and -60?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1012, -7862, -26400, -62470, -121916, -210582?\n\"Answer: -974*w**3 - 32*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -42. Let c be (-2)\/7 + (-26)\/7. What is the tens digit of (p\/c - 0)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 + 12*c - 25. Determine g(4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -9\/4459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/((-48)\/36))\/((-54)\/(-4)). Which is the smallest value? (a) s (b) -4 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 1. Let i = -152 + 154. Sort i, -3, m in descending order.\nAnswer: m, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 10 - 20)*(4*p - 4*p - 3*p**4) in the form t*p**2 + i + c*p**3 + d*p + r*p**4 and give r.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c**5 + 2*c**5 + 3593*c - 3519*c wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(3*n - 2*n + 0*n) - n - 7 + 0*n + 2*n to s + u*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 77\/28)\/(15\/(-250)). Let r = 117\/10 - o. Let n = -55\/2 + 28. Which is the third biggest value? (a) n (b) 6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n. Let s(p) = 209*p + 132. Let a(v) = -16*v - 10. Let w(m) = 66*a(m) + 5*s(m). What is w(o(l))?\nAnswer: 77*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*y + 14 = -8, 12*y - 7 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, x: 6, r: 3, e: 3}. Give prob of sequence xr.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, -3, 0.4, -27, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16420073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 913276 + -1506905281\/1650. Calculate the common denominator of y and -83\/418.\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + -59. Let i = -91 - a. Let m be 2 + i\/(-2)*-8. What is the greatest common factor of 120 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-2)\/6*2). Let i(f) = 11*f + 23. Let x(s) be the first derivative of -s**2 - 4*s + 3. Calculate o*i(p) + 34*x(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-12))\/(60\/(-732)). Let z = 17\/10 + -401\/30. Let u = g + z. Which is the nearest to -1? (a) u (b) 5\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cziicsscszzszzzzcsz. What is prob of sequence iccs?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**3)**26*w**(-9)\/w**1 assuming w is positive.\nAnswer: w**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2318 < -2328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.45 + -69. Let l = -54.45 + f. Let g = -24.8 - l. What is g rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014285537 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -71*d**5 - d**4\/4 - 424*d**2 - 72. Find the second derivative of o(j) wrt j.\nAnswer: -4260*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4481 - 2250. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134 and -460.3?\nAnswer: 61680.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/6 + 1355*z\/6 + 30651.\nAnswer: (z + 153)*(z + 1202)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3471 and -243845.\nAnswer: 846385995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - 14*g - 12. Let y be a(-6). Suppose 0*x = -2*x - 74. Let u = y + x. Which is bigger: u or -2\/105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o**2 - 5*o + 5. Let d(x) = 2 - 3*x**2 - 9*x**2 - 3*x - 3*x**2 + x**2. Let s(r) = 2*a(r) - 5*d(r). What is the second derivative of s(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -14*d + 5. Suppose -5*c + 3*f - 3 + 32 = 0, -f + 1 = c. Let y be t(c). Let l be -5*(-3 - y\/(-15)). Solve 2*v + 4 = -7*h + 3*h, 4*h = 5*v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (11 + -9 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210100012 (base 3) in base 8?\nAnswer: 104650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27128.0079631 + 1618?\nAnswer: 28746.0079631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21917, -87950, -198095, -352352?\n\"Answer: -22056*f**2 + 135*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let v(u) be the first derivative of -3*u**4 - u**3 + 297. Determine 3*f(j) + v(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 5. Suppose v - 1 = 5. Let y be f(v). Is 17 a factor of 2\/(((-4)\/y)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {q: 1, j: 3, l: 2, p: 2, r: 1, m: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174988*f**6 + 2*f**2 - 46062*f wrt f?\nAnswer: -20998560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 1.8. Let n = p + -5. Round n to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24685 or 39775?\nAnswer: 39775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 15. Let b be c(-11). Suppose 0 = b*f - 0*f. Solve -4 = r - f*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 28 - 3*d + 0*d + d to u + l*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y + y + 27225 = 0. Is -495 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6351 - 683*u - 3*u**4 + 1891*u - 831*u with respect to u.\nAnswer: -12*u**3 + 377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171333?\nAnswer: 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1169, -4781, -10803, -19247, -30125?\nAnswer: -43449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000188655 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -702287282 and -702287280 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744788?\nAnswer: 2, 11, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7409.1 take away 220?\nAnswer: -7629.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -102006, -204056, -306098, -408132, -510158, -612176?\n\"Answer: 4*w**2 - 102062*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 32, 55, 96, 161?\n\"Answer: z**3 + 4*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -152 + -2cd048?\nAnswer: -2cd19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + p**2 - p + 12. Let l be h(0). Let y(k) = -k**2 + 14*k - 12. Let q be y(l). Let u = 7 - 1. What is the greatest common factor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 12. Let d = 0 + k. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 660.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13 = -0*z + 2*g, z = 4*g - 11. Suppose 7*u + 2*u = -18. Let c(s) = -10*s - 16. Let i be c(u). Solve -3 = i*x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*v**3 - 56*v**3 + 41*v**3 + (1 + 2 - 4)*(3*v**3 + 0*v**3 - v**3) + 2*v - 2*v + v**3.\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 2. Let a(f) be the second derivative of 3*f**3\/2 + 2*f**2 - 3*f + 18. Let d = 246 - 251. Determine d*l(q) - 3*a(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11471.\nAnswer: 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 343 (b) 15 (c) 4\/9 (d) 1\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 980, 1005, 1048, 1109, 1188, 1285?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/9, -0.11 in ascending order.\nAnswer: -0.11, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 2. Let a be x(2). Let y(q) = -q - 3. Let r(g) = 2*g + 3. Let z(k) = 6*r(k) + 5*y(k). Determine z(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 26)*(2*y**5 + 0 + 0).\nAnswer: 56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/2 + (-5)\/(-20)*-2. Let n(q) = -6*q**3 - 4*q - 29. Let p(k) = 7*k**3 + 3*k + 29. Let l(x) = z*p(x) + 3*n(x). What is the derivative of l(v) wrt v?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13554 is divided by 199?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q. Let y be g(1). Suppose 2*u - 1 + y = 0. Is -1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z. Let f be m(1). Let h(j) = -j + 5*j + 2 + 2. Let o(n) = -3*n - 4. Let q(i) = -5*h(i) - 6*o(i). What is q(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 (base 12) in base 16?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 150*f - 580. Calculate a(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82590864 divided by -4.\nAnswer: 20647716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 2 + a - a**2 - 2.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 32*d**2 - 713*d**2 + 10803*d**2.\nAnswer: 10122*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriiiirriiriii. Give prob of sequence rr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 13650 to the nearest one hundred.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/35, 253.2, 2\/59?\nAnswer: 253.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0 - 1\/9*q**6 - 11\/60*q**5 - 8\/315*q**7 - 5\/36*q**4 + 0*q + 2*q**2 - 1\/18*q**3. Suppose n(k) = 0. Calculate k.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-107)\/71262)\/(3\/(-162))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmuchhchuumukuuhu. What is prob of picking 1 h and 3 c?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/80 and -14\/69.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.654?\nAnswer: 2.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38086*r**4 - 2*r**2 - 4894*r - 2 wrt r?\nAnswer: 914064*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 15.1671?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 9*m - 24*m)*(-120*m + 51*m + 58*m).\nAnswer: 209*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9585548 to the power of 1\/2, to the nearest integer?\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*c + 12, 2*s - c = -6*c - 15. Let i(y) be the third derivative of -y**4\/12 - 5*y**3\/3 + 64*y**2 - 122. What is i(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 at least as big as 355016\/2877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00624 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g - 16. Let q be c(5). Let m(o) = 28*o**3 - 2*o**2 + 24*o**3 - 44*o**3 - o. Determine m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 16 = -4*w + 5*k, 5*k + 24 = -w. Let x be w\/(-1 - 5\/(-7)). Calculate the highest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073 - 999 + 3269 = 57*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -86*j - 51. Let u be d(-2). Calculate the highest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -51. Let a(j) = -9*j**2 - 4*j - 7. Let g(f) = 8*f**2 + 4*f + 6. Let n(k) = 4*a(k) + 5*g(k). What is n(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 + 237 = -2*x + 5*l, 4*x = -4*l + 456. What is the third biggest value in x, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-4)\/(-6))\/(40\/30)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9799 - -32399. Round i to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -260 - -120722?\nAnswer: 120472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - t - 40. Let q(j) = 2*j**2 + j + 38. Let n(s) = -4*h(s) - 3*q(s). Let p(f) be the first derivative of n(f). Give p(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087*2953\nAnswer: 256.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22201 + -3112?\nAnswer: -31313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3.25, 0.00965.\nAnswer: -1\/2, 0.00965, 3.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-6))\/((-8)\/(-12)). Let g be (-986)\/(-18) - (-160)\/720. What is the greatest common factor of g and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.0561 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 3*b**4\/8 - 2*b**3 + 9*b**2. Differentiate i(q) with respect to q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a. Let g be s(3). Let y = -5 - g. Let r = 12 - y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-21)*(-7707)\/2936.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 2 + 91)*(1 - 3 + 1)*(1 - 1 + k + (-2 + 3 - 3)*(-2*k + k + 3*k))*(4*k**2 + 236*k + 2 - 236*k).\nAnswer: 1416*k**3 + 708*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14857\/18 + -192985\/342. Let l = r + -261. Which is the smallest value? (a) l (b) 1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -42 - (-2 - (25 + -6 + 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmy when three letters picked without replacement from krmhfrhmymr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98880 by -3.\nAnswer: 32960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2127 + 2162. Calculate the remainder when 112 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224 - -1199. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 18366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6511 + -6047. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -99, -77, -47, -9, 37?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/227 + -3874\/1135. Suppose -2*t = -4*n - 22, -n + 1 = -t + 9. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g - 2\/3*g**3 + 0 - 61*g**2 - 1\/12*g**4. Let h(u) = 2 + 1 - 2. What is a(i) + h(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t - 25. Let j = -30 + t. Which is the third smallest value? (a) -1 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66239.78894 rounded to 0 decimal places?\nAnswer: -66240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 3)*(0 + 4 - 2)*(-4*q - 3*q + 5*q)*(15 + 5 - 57 + 2*q)*(1 - 2 + 3).\nAnswer: 64*q**2 - 1184*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(13)*1.\nAnswer: -5*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1385 - 1385. Let r(l) be the second derivative of w + 2\/5*l**2 + 6*l - 1\/60*l**4 + 1\/10*l**3. What is d in r(d) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**3 + 8*m**2 - 5*m - 104. Let f(p) = 4*p**3 - p - 25. Let h(i) = 4*f(i) - l(i). Suppose 1 = -2*w - 15. Give h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 55 + 11 = 0. Suppose -i = -11*x + 9*x. Calculate the remainder when x is divided by (-66)\/(-4) - 5\/(-7 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53379 - -53375. Let h(v) = -v - 12. Let r be h(-6). Sort r, -3, -5, i.\nAnswer: r, -5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5\/2*q**2 - 1\/4*q**4 + 0*q**3 - 2*q - 4. Let j(b) = b**2 - 1. Let m be j(0). Let a(u) = -u. Determine m*p(h) + 5*a(h).\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/(b*b\/b**(1\/4)*b))\/((b*b\/b**(1\/5))\/(b\/b**(1\/7))) assuming b is positive.\nAnswer: b**(-1271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*g + 44, g - 2*k = 5*g - 22. Suppose -4*m + g*m = 12. Solve 4*j - 2 = 5*p, -p = -j - m*p + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -45. Suppose 21*o = l*o + 35. Solve o*b = 7 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335 + 3123?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 742859016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 6*h - 6*h**3 - 16*h**3 - 12*h**3.\nAnswer: -30*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16516\/5119 or 3?\nAnswer: 16516\/5119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -750 + 1254. Let w be m - (-4 - -1) - 4. Suppose -p - 4*p + w = -4*z, 0 = p + 4*z - 91. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -22.9. Let d = s + -1.3. What is the third biggest value in 2\/13, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 1. Suppose 177 = 3*g + 5*d, -124 - 16 = -2*g + 4*d. Let i = -58 + g. Let h be ((-6)\/4)\/(-1)*(-16)\/i. Give z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17589429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1.07 (c) 5283 (d) 2\/13 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547632?\nAnswer: 2, 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 161078428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2. Let s(g) = -17*g - 417. Let q(d) = -3*d - 84. Let p(r) = -11*q(r) + 2*s(r). Give p(a(n)).\nAnswer: -3*n**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 3. Let n be a(4). Let z be 36185\/(-150) + n\/3. Let b = 1148\/5 + z. Find the common denominator of 18\/11 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -278 and -19.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 72*l**3 - 12*l - 3*l.\nAnswer: 72*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2515960 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/x**41))*x)**(5\/2))**(-32))**(-37\/3) assuming x is positive.\nAnswer: x**(-38480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 35 + 96)*(-2*s**3 - 5*s**3 + 4*s**3)*(-1 - 1 + 1) - 2*s**2 - 58*s**3 + 10*s**2 - 8*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-225)\/80)\/(-5))*(-18)\/12\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - (-4)\/6. Let g(u) = 29*u + 1. Is 15 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u + 810 = -39*u. Let m(a) = -1 + a + a**3 + u*a**2 - 19*a**2 - 27*a**2. Let z(n) = -12*n**3 + 8*n**2 - 8*n + 8. What is 24*m(t) + 3*z(t)?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345827921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (-9 - -6) + 21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120.6 + -121. What is the biggest value in a, -0.5, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/17 - 148684*k**3\/17 + 13958622*k**2\/17 + 148684*k\/17 - 13958624\/17 = 0. What is k?\nAnswer: -1, 1, 94, 74248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 10. Let a(z) = z - 9. Let s(t) = 3*a(t) + 4*c(t). Suppose 0 = 5*h - 4*l - 75, h = -h + 4*l + 42. Let x be s(h). Solve -x*q = -q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90274039631 + 90274032681.9996661. Let t = a - -6949. What is t rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 25*a**2 + 47*a + 23. Let i be w(-23). Let z(p) = -5*p - 2. Let k be z(-2). Solve y - 2*m - k = i, y + m + 2 = -2*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -11. Let a = 7 + q. Suppose 5*v - 35 = 76*u - 77*u, 3*u - 5*v = 5. What is the lowest common multiple of a and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 728*g**6 - 19*g**3 - 255652*g**2.\nAnswer: 87360*g**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 3*i**2 + i + 3. Let w(b) = 5*b**3 + 8*b**2 + 2*b + 8. Suppose 0 = -3*u - 7 - 2. Give u*w(g) + 8*f(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/288 and -143\/2232.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -303322210?\nAnswer: -303322130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x - 12. Let l be o(-9). What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbz when three letters picked without replacement from {j: 5, z: 2, b: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 346 = -59. Is 1141749\/t + (-2)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -5*d**4\/12 - d**2 - 5*d. Differentiate j(u) with respect to u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 50*l**2 - 146*l + 126. Calculate x(-22).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112.8 - 1036328.\nAnswer: -1036215.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26022 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 4*t**5\/15 + t**2 + 4. Let j(y) = y**2 - 17*y. What is j(g(h))?\nAnswer: 256*h**4 - 272*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = t. Suppose 308*v - 800 = -92*v. Sort -1, v, t.\nAnswer: t, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63.6 * -0.4\nAnswer: 25.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2535 - -2535. Which is greater: -2\/1101 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w**2 + 3 - 3*w - 2 - 16*w**2)*(-3*w - w + 5*w).\nAnswer: -w**3 - 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:25 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ypyyyyyyppy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/8 (b) 0.3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -688.4 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-18)))**(-30) assuming b is positive.\nAnswer: b**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/14 + 6)*1\/(-2). Let f = 24 - 31. Let b be f\/(14\/4) - 26\/(-12). Sort b, 8, s, -4\/5 in descending order.\nAnswer: 8, b, s, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -21. Let n be u\/6*(-54)\/(-24). Let d(b) = -4*b**2 + b**2 - 8 + 4*b + 3*b**2 + b**2. Calculate d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 28*z + 21 in the form v + r*z and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/190)\/(4\/(-16)*2). Factor 0 - 1\/5*l + t*l**2.\nAnswer: l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from mmeee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q. Let v(x) = -10*x. Let l(b) = -7*k(b) - 5*v(b). Let r(g) = -2*g**3 - 2*g**2 - 2. Let w be r(-2). What is l(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -58 (c) 4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68\/5? (a) 0 (b) 3 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 4. Suppose -50*u - 12 = 3*o - 52*u, -2 = -5*o - 4*u. Which is the closest to i? (a) o (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 8*d + 3. Let j be (24\/(-192)*6)\/((-6)\/64). What is n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titi. Give prob of sequence it.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettee. Give prob of sequence ett.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/8)\/(q**(-1)*q) assuming q is positive.\nAnswer: q**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(((n\/n**(-16))\/n)\/n))*n))\/((n\/(n*n**(-9\/2)*n*n))\/n))\/(n**11\/n*n)**(2\/11) assuming n is positive.\nAnswer: n**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 less than 0.1?\nAnswer: -948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. Calculate the remainder when (g - (-186)\/3)*(-2 - -3) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(0 - 2\/4). Suppose -i - 26 = -n*i - 3*u, -u - 14 = -4*i. Find the second derivative of w**3 + i*w**3 - 23*w + 22*w wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/((-3)\/8) + 997. Suppose 0 = -12*r - h - 3279. Find the common denominator of 65\/14 and -2 + r\/(-88) - 2\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8931, -8930, -8929, -8928?\nAnswer: -8927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50070784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 39. Let x be d\/3*(-1 - 2). Let p = -13 + x. Solve -4*v = 5*u + p, -3*v = 2*v + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 31?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/((sqrt(396)\/sqrt(12))\/sqrt(3)) + -5 + -5)**2.\nAnswer: -20*sqrt(19) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggkr when four letters picked without replacement from ggrgk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -613200 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(-4\/3))\/(y**(-5\/4)*y*y**(2\/9)*y) assuming y is positive.\nAnswer: y**(-299\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 213 = 27. Suppose -m + 72 = 3*v. Solve -o + 18 = -v*d, -d - 4*o + 3*o - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32034 in 0.3, 5\/4, -0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 13537 = -22499. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efeefefefe. Give prob of sequence ef.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 123 - 109 = 5*b, 4*b - 5*x = -196. Let v = 69 + b. Suppose 5*z = v, 3*q + 0*z - z = 403. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from eoooooeoooeeoeoooooo.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -0.179.\nAnswer: -16.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 6*x - 5. Suppose f + 5*a - 25 - 5 = 0, f + 2*a = 15. Suppose 0 = -2*p + f*h - 23, 6 = -2*h + 4*h. Let g be b(p). Solve 4*l + 2 = g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - 5.7. Let j = 6 + s. What is the nearest to j in -0.5, -2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. What is the closest to r in 3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r - 79 - 4*r + 12*r + 8. Let w be m(4). Which is the second smallest value? (a) -1\/5 (b) 19 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*a**2*d**3 - 3*a**2*d**2*k - 9*a**2*d**2 - 2*a**2*d*k - 2*a*d**3 + 2*d**3*k wrt d.\nAnswer: -636*a**2 - 12*a + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)\/o*o**(-1\/10)*(o**(-1)\/o)**(-4\/3)*(o*o**(2\/7))\/o*o*o*o**2*(o\/o**1)\/(o\/(o*o**1\/o)) assuming o is positive.\nAnswer: o**(3827\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22221 - -23101003?\nAnswer: 23012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3*q**2\/2 - 4*q - 3. Let h be m(-3). Let z = 1 - h. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3771*o - 3771*o + 743*o**2.\nAnswer: 743*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 2}. Give prob of sequence rr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124054 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((18\/4)\/(-3)). Let b(c) = 7*c**3 + 25*c**2 + 12*c + 6. Let v be b(-3). Solve -3*d + v*g - 3 = 3*g, 0 = 3*d + k*g + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u + 1. Let d(z) = -3*z**2 - 5*z - 5. Let r(p) = -d(p) + 4*v(p). Let h be r(0). Solve h = -3*t, -3*x - 4*t + 5*t = -18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121158 and 63.\nAnswer: 848106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122432 (base 6) in base 16?\nAnswer: -52694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzrkcn. Give prob of sequence rnz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlglgghglggl. What is prob of picking 2 l and 1 g?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i**2 - 7*i + 1616. Let a(y) = 8*y**2 - 4*y + 808. Calculate 9*a(o) - 5*b(o).\nAnswer: 2*o**2 - o - 808","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4667.349 micrograms?\nAnswer: 0.004667349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 108970*o**3 + 196067*o**2.\nAnswer: -120*o**2 + 653820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -2, 15, -3\/2 in increasing order.\nAnswer: -3, -2, -3\/2, -0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13357411 - 0.4.\nAnswer: 13357410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013561411 to seven dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39642\/5 - -15137\/2. Let r = 366 + q. Calculate the common denominator of -91\/8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 15. Let j = 0 - s. Suppose -j*l - 2 = -8. Which is the second smallest value? (a) -4 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87544885411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40788 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396 + 1987\/5. Let d = -81\/65 + a. What is the second smallest value in 2, 1\/5, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032221*-5\nAnswer: 0.161105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 4*a - 4*a)*(-a**2 - 4*a**2 + 3*a**2) + 1 - a**3 + a**4 - 1 - 3*a**2 + 3*a**2 - 7*a**4.\nAnswer: -8*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**30\/i)**20*i**(-24\/5)*i*i*(i\/(((i*(i*((i\/(i\/i**(-29)))\/i)\/i)\/i)\/i)\/i*i))\/i*i assuming i is positive.\nAnswer: i**(3046\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130076738 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((6\/5)\/3). Suppose h*u - 10 = -g, 0 = -5*u + 5*g + 7 - 27. Suppose 2*d - u = 1. Which is the third smallest value? (a) -1 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**25*x*x)\/(x\/(x**(-2\/83)*x))*(x*x*x*x\/(x**(1\/2)\/x)*x*x)**(-20))**(1\/6) assuming x is positive.\nAnswer: x**(-8551\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 621 - 103. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 33.\nAnswer: -7\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.6254 - 58.7420067. Let d = p + 57.1144467. Let y = -57 + d. Round y to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 2. Let d(j) = 2*j - 6. Determine 2*d(n) + 7*x(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185731 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 17. Solve 0 = -4*x + 8*x - y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1496\/340*20\/(-32)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1737, -3437, -5137, -6837, -8537?\nAnswer: -10237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19535, -39061, -58587, -78113, -97639?\n\"Answer: -19526*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -177 divided by 59\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138\/483 + 1\/21. Which is the closest to j? (a) 4 (b) 1 (c) -1\/2 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10*g\/g**(3\/20))**(3\/10) assuming g is positive.\nAnswer: g**(651\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4888.93 - -4865. Let o = k + -0.07. Let q = o + 27. What is the closest to 1 in q, 0.6, 2\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -611\/34449 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 95. Let t be z(7). Suppose 3*a - 274 = -t. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 122*c**2 + 5*c - 381. Give u(61).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25a + 207?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 - 10*n - 11. Give g(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -713883371, -1427766740, -2141650109?\n\"Answer: -713883369*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/(-605))\/1)\/((-1)\/5)*-1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8691591549?\nAnswer: 3, 59, 67, 732911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/(g**(-2\/5)\/g)))*g)**(-36)*(g**(2\/7))**(16\/3)*(g**0*g*(g**0\/g)\/g)**31 assuming g is positive.\nAnswer: g**(-12167\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-16)\/(-10)*37\/148. Let l be (-10)\/(-40) - 61\/212. Which is the third biggest value? (a) 0.3 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 70 = -26. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -74 + 2. Suppose 2*n - 36 = 3*s, -8 + f = 2*n - s. Let v(g) = g - 5. Let z be v(n). Calculate the greatest common factor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16546745 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 24*((210\/(-216))\/(-35) - 2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2*(-2)\/52). Suppose -2*a + 5*d = 11, -5*a + c = 3*d - 2*d. Let r(m) = m**2 + m**a + m**2. Let v(g) = 3*g. Calculate r(v(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30120714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 + 2*j**2 - j**2 + j**3 - 2*j - 4*j**2. Suppose 2*n = 1 + 7. Is k(n) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446073518 divided by 242\nAnswer: -1843279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*p + 244 = 0, 0 = 2*i - 0*p - 4*p - 110. Let s be i\/9 - (-1)\/(2\/(-4)). What is the closest to 0.05 in 3, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, 0.7 in descending order.\nAnswer: 0.7, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.1, 4\/5, -1715672\/27 in increasing order.\nAnswer: -1715672\/27, -2\/11, -0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/t**22)\/t*t**41\/t*t)\/(t**(2\/125))**(2\/7))**(-44) assuming t is positive.\nAnswer: t**(-808324\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 + 189*w**4 - 192*w**3 = 0. What is w?\nAnswer: -64, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 38731.\nAnswer: -31\/38731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216.2 + -216.5. What is the second biggest value in r, 1\/3, 66?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 108. List the prime factors of f.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13937 divided by 773\nAnswer: 13937\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9040\/(-6) + (-2)\/(-2). Suppose -38*z + 17*z = -32067. Let n = k + z. Calculate the common denominator of 43\/34 and n.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132581 and 6?\nAnswer: 795486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.372395 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1564\/11 - 142. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 + 0 = -t + 1, -2*l - 326*t + 327*t - 19 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1330 and 1855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {s: 2, r: 8, q: 9, e: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 4 + (-1 - -2). Let q(p) = -p**2 - 10*p + 6. Let j be q(-7). Let w be 3 + g - 114\/j. What is the closest to -1\/4 in w, 0.4, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-27)\/(-324)*((-30)\/9)\/1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/2313 and 149\/24.\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/2520 + 29*l**5\/120 + l**4\/24 + 30*l**2. Let j(d) be the second derivative of u(d). Differentiate j(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d35c (base 15) to base 13\nAnswer: -6b5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8256799 is divided by 193?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -0.483, 0.6?\nAnswer: -0.483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/(38\/570). Suppose 11 - f = y. Solve -z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/83 - -111\/581. Let t = 1304 + -1309. Let d = -3 + 3.4. What is the third biggest value in r, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from iiieiiiekikeiikkiiie?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/4 + 850*d + 10209\/4 = 0?\nAnswer: -3, 3403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170 - -1528\/9. Which is the closest to 0? (a) y (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 81\/4, -0.1, -2\/7, 0.04.\nAnswer: -4, -2\/7, -0.1, 0.04, 81\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b - 6*b**2 - 17*b + 35*b as k + i*b + n*b**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007768 to seven decimal places.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1496 = 11*u - 1573. Solve 0 = s + w + 4, 3*w = -2*s - 3 - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478 divided by -239.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -134. Solve -3*p = 2*c + 1 - 16, 0 = 5*c + a*p - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78905473, 78905469, 78905465, 78905461?\n\"Answer: -4*n + 78905477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5*d**2 - 5*d**2 - 2*d**2 + 3*d**2. Let j(m) be the third derivative of m**5\/60 + 7*m**2. Determine b(j(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.389 and 156535?\nAnswer: -60892.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 706736184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12688?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1479 - 826. Let h be (d + -1)*(-1)\/(-4). What is h rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = -n - 7*x, -3*n = -x + 28. Let g = -17 - n. Let m be (-5)\/10 - g\/2. Let u(c) = -c**2 + 2*c + 3. Give u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -5 + -1 - -7) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 1. Let d = -10 - -17. Let p = -2 + d. Let t(y) = -5*y**2 + 8*y - 5. Let j(u) = p*q(u) + t(u). What is the second derivative of j(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82561\/12 + -6884. Let s = 11\/3 + x. Which is the nearest to -1? (a) s (b) 1\/7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1725.5614237 + 1735.26143. Let k = w + -9.7. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95190, 190299, 285372, 380403, 475386, 570315, 665184, 759987?\n\"Answer: -y**3 - 12*y**2 + 95152*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56061675 minus 5?\nAnswer: -56061680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f = -11*f - 773058 - 237493. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - 6) + 0 - -8) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1136*y - 40899. Give f(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17ab40 + 90?\nAnswer: -17aa70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -2*z + 3*a + 7, 3*z - 3*a - 267 = 0. Let q = z + -77. Factor -v**4 + 4 + 2 - 2*v - q + 2 + 2*v**3.\nAnswer: -(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*i - 349 + 315 = 0, 2*i + 28 = 6*i - 0*i + 10*i for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + s - 331 = 0, 123*p + 4*s - 325 = 120*p. What is the highest common factor of p and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1\/3 (b) -2 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppppposbbqp. Give prob of picking 1 b and 1 p.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -118, 0.5, 5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 8144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 284 - 206 = 0. Suppose l = 3*j + 4*b, 3*j - 5*b = 41 + 12. Suppose -4*a - 10 = -j. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u*x**4 - 7*u*x**3 - u*x - 2*u - 57*x**5 - 12*x**3 - 149660*x**2 + 1 wrt x.\nAnswer: 24*u*x - 42*u - 3420*x**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 - m**2 + 2. Let r(o) = 80*o**3 + 5*o**2 + 10. What is -5*j(u) - r(u)?\nAnswer: -65*u**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68699.\nAnswer: 68699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 0*d - 7*d - 3*d**2 - 8. Let v(u) = -2*u**2 - 5*u - 5. Suppose -2 = -6*g + 94. Suppose 0 = 4*m - 6*m - g. Give m*v(p) + 5*y(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) + sqrt(2592) + -5 + 4 - (2 + 1*sqrt(18)*-2)) + 5 + 0)**2.\nAnswer: 312*sqrt(2) + 12172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13465110 (base 7) in base 6?\nAnswer: -43000503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 11\/60*w**5 + 0*w**3 + 0 + 33*w + 0*w**4 + w**2. Let n(p) = -32*p. Calculate n(q(u)).\nAnswer: -352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 456906.5 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18227069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-277)\/5 + (-4)\/(-10). Let y = v + 91. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, n: 1, o: 2, r: 6, e: 6}. What is prob of sequence ndr?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 2*p**5 - 5*p**2 + 3*p**2 + (5*p**2 - 10*p**2 - 6*p**2)*(13*p**2 + 3*p**3 - 5*p**3 - 12*p**2).\nAnswer: 21*p**5 - 11*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704*y - 23728 - 24312 + 836 = -8012. Suppose 2*s + 92 = 4*t, 2*t - 6*t - 3*s = -92. Calculate the remainder when t is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 15.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100561521 (base 7) to base 9\nAnswer: 12026613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4573 and 15200921?\nAnswer: 258415657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:59 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1691471, -1691472, -1691475, -1691480, -1691487, -1691496?\n\"Answer: -t**2 + 2*t - 1691472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**4 + 214820*j**3 - 1442381988*j**2 + 3604290300*j + 2162767500 = 0. Calculate j.\nAnswer: -1\/2, 3, 13425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (((sqrt(76) - (sqrt(76) - (sqrt(76) + -3*sqrt(76)))) + sqrt(76))*-3 - sqrt(76)))\/sqrt(4) - 5*(sqrt(2299) + -2).\nAnswer: -56*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 29*s**3.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 813158153 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 29 + 29. What is the lowest common multiple of v(8) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130276993 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(198)\/sqrt(2) + (1*sqrt(704))**2 - (-1 + sqrt(1100) + -3 + (sqrt(11) - 2*sqrt(11)))))*-3.\nAnswer: -2133 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 17. Suppose -2*l = d - 226, -h*d + 4*d - 119 = -l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 119*c - 1422. What is y(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 - -34.7. Let k = -30.99999924 + r. What is k rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496085 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 225 + 2*c**4 - 442 + 215 - 12*c**3 in the form x*c + u + n*c**2 + w*c**4 + h*c**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1891 + -1884. Solve 0 = 7*j - 0 + q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4) - 292\/(-48). What is the second smallest value in 4, h, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**2 + 15*n + 6. Let d(t) = -4*t**2 + 7*t + 3. Let u(h) = 5*d(h) - 2*p(h). Let k(a) be the first derivative of u(a). Differentiate k(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1580.1 - 1684. Let k = 104 + q. Let i(j) = -j**2 + 4*j - 1. Let s be i(4). What is the nearest to -5 in k, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-25)*-1*10. Suppose -2*s - o*u - 25 = -81, 3*s + 3*u - 90 = 0. What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -142. Let y(l) = -37 + s*l - 36 + 70. Calculate y(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -16) + 13 + -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1575) + -4 + 5 - (-2 + 1*(sqrt(63) + sqrt(63) + sqrt(315)\/sqrt(5))*5))**2.\nAnswer: -180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*((-6*(sqrt(2299) + -2 + sqrt(2299)) + sqrt(2299))*-1 + (1 + sqrt(2299) + 3 - sqrt(2299)*-2*-1)))**2.\nAnswer: -660*sqrt(19) + 229909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-27 - (1 + -17)) + 0 + 23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzztzzztzztzzztttzz.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-119)\/(-34))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 m, and 1 z when four letters picked without replacement from mbmmzzzmbzmmzozmzm?\nAnswer: 49\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 551127?\nAnswer: 13778175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(3 + (-1*sqrt(396) - sqrt(396)) + (sqrt(396) + 0)*6)*6*4 + 0)**2.\nAnswer: 2073600*sqrt(11) + 91368000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 427, 1477, 3227, 5677, 8827, 12677, 17227?\n\"Answer: 350*g**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 2*c - 3. Let t be o(3). Let i(b) = -b**2 - b + 2. Let x be i(t). What is d in -x*d**2 + d**2 + 2*d**3 - d**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 30*i**2 + 105*i + 5. Calculate l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 a factor of 8610178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -85630 and -85628 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2322, 4656, 7014, 9408, 11850, 14352?\n\"Answer: 2*k**3 + 2320*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 24080100 to the nearest ten thousand.\nAnswer: 24080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -12*o - 4. Solve -28*a**o - 19*a**2 - 84*a + 588 + 50*a**2 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-456)\/4 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q = -20*q - 16. Let n be q\/3 + ((-8)\/6)\/(-2). Suppose n*u + u = 225. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185675.5 to the nearest one thousand.\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27376 is divided by 13629?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, u: 10}. Give prob of picking 1 q and 3 u.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 464880296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 540 + 2*w + 543 - 1086 - 5*w. Let j(y) = 3*y + 4. Let h be 1\/(3\/2*(-1)\/(-3)). Determine h*j(d) + 3*c(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*a + 77*a = -136890. Calculate the greatest common divisor of a and 468.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*v**6 - 20*j**2*v - 207*j*v**5 + 34*j*v**2 + j wrt v.\nAnswer: 240*j**2*v**3 - 12420*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*y**5 + 2*y**3 - 94*y**2?\nAnswer: 1620*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 381 - 374. Solve v + 2*x + 2 = -3*v, t = -3*v + 4*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 2*o - 5. Suppose 5*z - 2 = -2*u + 8, -3*u = -4*z + 8. Suppose 2*q + 3*v + 8 = u, 4*v = v. Give w(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 3, 140\/453, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 694264 or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 103*r - 4332. Calculate i(42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -21. Suppose -8*c = -4*c - 216. Suppose -3*n = 5*v - 0*v - c, 3*v = n - 18. Calculate the remainder when b is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 30 = -9*l, 3*o + 50 - 26 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 20 + 8. Is 5 a factor of -2 + 1 + l - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -77. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.97 + 2670.98.\nAnswer: 2670.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -44. Suppose z*j + 116 = 4*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-41)\/(3075\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 2\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m - 313*m - 988 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 203f + -17?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a factor of 150361632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*z - 1 = -3, -3*k + 17 = 5*z. Let r be 78\/(-195)*(-15)\/2. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 + 4 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.12 - -0.38. Let z = v + -11. Let f = z - -2.1. What is the third smallest value in f, 3\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15925 + -15925. Solve -27*m + 9*m + 90 = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.100151 and -6.8?\nAnswer: 0.6810268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/366 and -173\/600?\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 9 + 6. Solve -p*t = -0*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let o(c) be the third derivative of c**5\/60 + c**4\/6 - c**3\/2 - c**2. Calculate the remainder when 17 is divided by o(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/9 + 95092*x**4\/9 - 374637472*x**3\/3 - 152342558720*x**2\/9 + 309180006400*x\/9 = 0.\nAnswer: -136, 0, 2, 23840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495507 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g - 4. Let l(i) = 2 + 38*i + 2 - 1 - 49*i. Let c(m) = 4*l(m) + 3*s(m). Let q(b) = -2*b. Determine q(c(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -575?\nAnswer: 4\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6309 - -6804. Calculate the smallest common multiple of p and 411.\nAnswer: 67815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*j - 2506*j + 698*j + 507*j + 651*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 3089*a + 270 = -j - 3094*a, -11*j - 4*a - 171 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (105 + -3 - 5) + (474 - 481 - (6 + 0))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/21)\/((-274)\/2877)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34976522453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 2*s**2 - 1. Let j be 2*(0 - (-1)\/(-2)). Give c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x + 3*x**2 + 5*x**2 + x**3 + 6 + x. What is the remainder when o(-5) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22828 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 + 10*j + 18. Let k be s(-9). Let r be k\/27 - (-16)\/6. Suppose 4*m - m = -5*o + 274, -9 = -r*m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*(-126)\/5292)\/((3\/(-50))\/3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3033825 - 0?\nAnswer: 3033825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346 - -577. Suppose -161 - z = -7*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*t + 25, 13*h - 5*t - 196 = t - 489 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 48\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*o + 21 = 7*r, 0 = 3*r - 2*o - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -60, 32, 170, 360?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008546.\nAnswer: 2, 131, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 52. Let o(t) = 8*t**2 - 25*t + r + 3*t**2 + 2*t**2 + 37*t + t**3. Let c be o(-12). Solve -3*g + c = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/(-4)*(312\/(-39))\/8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13224 and 116893548.\nAnswer: 233787096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:10 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 2, u: 2, w: 3, r: 2, q: 1}. What is prob of picking 1 r, 1 m, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/4 - -7\/4. Let i = 541 - 545. Which is the third biggest value? (a) 18 (b) i (c) -1\/2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*b, 228 - 56 = 2*k - 4*b. Let j be 5\/10*k\/2. Suppose -3*f - 10 = -22, 0 = 4*d - f - 8. Solve -d*p + 5*w = -p + j, -35 = -5*p - 4*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*q**4 + 8200304*q**3 + 30750177*q**2\/2 - 4035967*q\/2 + 64063 = 0. What is q?\nAnswer: -64063, -2, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 171863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3166*m - 3168*m - 7 - 3, 5*t + 54 = 6*m for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 476*c**2 + 1904*c + 7571. Give d(-472).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**2 - 5. Let g(q) = -q**4 + 14*q**2 - 4. Let l(v) = 5*g(v) - 4*j(v). Find the third derivative of l(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 5*x**2 + 4*x**2 + (-x - 9*x + 3*x)*(4 - 4 - x) + 0*x**2 - x**2 + 2*x**2 as p*x + h*x**2 + n and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4709265093 and 0.025.\nAnswer: 4709265093.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 1)*(2 - 2 - 2) + 1 - 2 + 2 + 48 - 21 - 31)*(3*c**2 - 4*c**2 + 0*c**2) to f*c**2 + z*c + h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 4*b + 3. Let v be h(-4). Let o(l) = 5*l - 3. Calculate the remainder when 34 is divided by o(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111406176*h**3*n**2 - 13339*h*n**2 + 438*h*n wrt h.\nAnswer: -668437056*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**4 - z**4 + 10*z**4 - 4 - 7*z**4 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4.3223?\nAnswer: 0.43223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001364751 rounded to six decimal places?\nAnswer: -0.001365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 3, j: 3}. Give prob of picking 1 a and 2 u.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256135 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucwwlucuu. Give prob of sequence cluw.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7900989\/1040 - -37988\/5. What is the common denominator of 38\/481 and c?\nAnswer: 7696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11041.1 in -1, -2\/3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.68 and -0.1290149.\nAnswer: -1.8090149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239116, -478239, -717362, -956485, -1195608?\nAnswer: -1434731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11.3. Let i = 30037.6 + -30038. Sort i, -3\/17, g.\nAnswer: i, -3\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.98818 - 0.01182. Which is the nearest to -1\/2? (a) -2 (b) m (c) -4 (d) -9.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 1905*h**2 - 1905*h**2 + (-h - 6*h + 3*h)*(4*h**2 - 4*h**2 + 3*h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18879 is divided by 2700?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228768578 rounded to 3 dps?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqxcvxfqfcxsfqqqx. What is prob of picking 1 x, 1 f, and 1 v?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10.78558 (b) 5 (c) -1 (d) 2\/3 (e) 4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -168703 and 7156472.03.\nAnswer: 6987769.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**37\/h)*h**(-6)*h*(h**(-9))**(-15) assuming h is positive.\nAnswer: h**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**2 + 14*w**2 + 2*w**2)*(8*w**3 - 3*w**3 + 3*w**3 + (-96 - 59 + 46)*(-w**3 + 0*w**3 - w**3) - 6*w**3 + w**3 + 4*w**3).\nAnswer: 1125*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 14760429034605?\nAnswer: -14760429034604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 184811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbnnbznznbknnzbjn. What is prob of sequence bjkj?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-17))**(-4\/17) assuming i is positive.\nAnswer: i**(64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 12. Suppose -3*g - 6 = 4*i, 3*g - 7*g = 5*i + 7. Solve 0 = 5*u + g + v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*y + 1 + (-2 + 2 - 2)*(0*y + 3*y - y) - 6*y - 104*y + 23*y as v + k*y and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63188 and -0.04.\nAnswer: 63187.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 3*b + 10. Let v be s(2). Let n be v - (-7 - 3 - -5). Solve -l - n*r = 10, 4*r = -3*l - l - 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 219*r**3 + 4*r**2 - 8*r - 5. Let g(b) = 328*b**3 + 6*b**2 - 11*b - 7. Give 5*g(p) - 7*h(p).\nAnswer: 107*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -5.06. What is the second smallest value in -2, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3466 minus -16677?\nAnswer: 13211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 8 + 9 - 4 + 5 + 10 - 727*b**2.\nAnswer: -727*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017912777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7, -0.1, -0.5, 461, 0.3 in decreasing order.\nAnswer: 461, 7, 0.4, 0.3, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196881983*m**4 + 476*m - 246364.\nAnswer: 2362583796*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Let w be v(1). Let g = 0.5 - 1.5. Let q = 1.1 + g. What is the closest to w in 0.2, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 38*n - 14. Find the third derivative of 18*p**3 + n*p**3 + 104*p**2 + 7*p**3 - p**4 wrt p.\nAnswer: -24*p + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + ((3*sqrt(2299))**2 + sqrt(19) + sqrt(114)\/sqrt(6)*4 - ((sqrt(19) - sqrt(1539)*1)*6*6)**2)).\nAnswer: -20*sqrt(19) + 6220980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 688 - 700. What is the thousands digit of (-18224)\/b - 3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 504*p + 2*p**2 + 2*p**2 + 515*p.\nAnswer: 4*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55600.84 litres in millilitres?\nAnswer: 55600840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1768*v - 4. Let z be q(-2). Let x = z - -4359. Suppose 3*i - x = -n, 5011 + 26580 = 4*n + 3*i. What is n rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-28) + 376\/28. Sort f, -5, 1 in descending order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -188*k**2 + 14681*k - 1338. Determine u(78).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 2*m**3\/3 - 4*m**2 - 2*m. List the prime factors of y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22a0 + 34699?\nAnswer: 36979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1182*c**3 - 4020*c**3 + 595*c**3)*(0 + 2*c + 0) + (-c**3 + 0*c**3 + 3*c**3)*(0 + c + 0).\nAnswer: -9212*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2)\/z*z*z**5\/z*z)**(-37)\/((z**(-1))**(-5)*(z*z**1)\/(z\/(z*z*z\/(z\/z**(-5))*z*z))) assuming z is positive.\nAnswer: z**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1150 + 4923?\nAnswer: 6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-36*18\/270)\/((-132)\/40)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 1)*(-2*t + 0 + 0) to k*t + o and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(114)\/sqrt(6) + -3*sqrt(19)*2.\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 11) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 6\/841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-2 - sqrt(132))\/sqrt(4))\/(sqrt(11)*-1*2))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/((l*(l*l**(15\/4))\/l)\/l))\/((l*l**(-1\/50))\/(l**18\/l)) assuming l is positive.\nAnswer: l**(327\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (1 + (0 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**3 - k**2 + 2*k. Let z be m(-2). Let g be z\/(-70) - (-4)\/(-10). What is the remainder when g + -4 - (1 - 2)*61 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**4 + 3*l**3 - 27*l**2 + 3*l - 3. Let o(t) = -t**4 + t**3 - t**2 + t - 1. Let z(c) = 3*o(c) - s(c). What is the third derivative of z(w) wrt w?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36638419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7 + -1 + (7 - 15) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-192)\/9. Suppose 6*w - f = 3*w. What is the greatest common factor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533623 is divided by 692?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6 or 2100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 36 - 3*d**2 - 135*d + 37 - 73. Let w(a) = 2*a**2. What is o(w(i))?\nAnswer: -12*i**4 - 270*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 1. Let n be (-8)\/(-6)*-3 - 2. Let r(s) = 11*s**2 - 10*s + 6. Let g(z) = n*b(z) - r(z). What is the second derivative of g(o) wrt o?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.6275397 take away -1.3?\nAnswer: -30.3275397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4640000 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-14 - -20) - -16 - (0 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = -q + 8, -5*q - 5*r = 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 199383255.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) -4\/7 (d) 5 (e) 0.0434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 8451592.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoaaooaaao. Give prob of picking 3 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 2852.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 15.68. Let m = -184641\/13 + 14203. Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 470?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6463 and -0.4?\nAnswer: 0.65852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, -6 in descending order.\nAnswer: 4, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 3, 80\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 44, -1\/11, -1, -2\/7, -1\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 828 + -818. Calculate the remainder when 442 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332247*y - 383672*y - 1258635*y.\nAnswer: -1310060*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 167*p**7\/42 + 97*p**4\/4 - 196*p. Find the third derivative of n(o) wrt o.\nAnswer: 10020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1250480 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = 5*t. Solve -t*s - 20 = 0, s - 5 = -3*o - 0*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14) + (11\/(-1617)*28 - 2028\/(-4347)).\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 356, 395, 450, 527, 632, 771, 950?\n\"Answer: z**3 + 2*z**2 + 26*z + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 + 415. Let m = -308 - -312. Suppose 0 = 2*j + m*j - 48. What is the greatest common factor of j and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/4*(-23)\/2. Let l = -41 + h. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/(-783)*(36\/21)\/(-2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 361*a**2 - 632*a - 2324. Give t(-122).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -11172, 10, 15 in decreasing order.\nAnswer: 15, 10, 3, 0, -11172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996*y - 996*y + 6*y**3 - 5*y**3 - 8*y**3 + 6*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = 2*t. Let w = t - 5. Suppose 0 = -w*f - d - 2, -2*d + 7*d = -4*f - 10. Solve f*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.232861 - 9059.\nAnswer: -9059.232861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 28*r**2 - 2*r + 18. Let o be x(-28). Let g = o + -76. What is the tens digit of (-20)\/g*(5 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.3 (c) -0.5 (d) -92.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 15.7. Let p = 0.4 - -0.1. Let m = p + 0. What is the second biggest value in -0.1, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*x + x - 4*x)*(-x + x - x) + 0*x**2 + 12*x**2 + 4*x**2)*(4*x**2 - x**2 - x**2).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*q = 23 + 6, 3*l + 3*q = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 15. Suppose -3*x + 12 = l*c - 3, c + 2*x - 10 = 0. Solve c = 3*q - b + 9, 3*b = 2*q - 0*q - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*r + 35 = 0, g - 15 = 14*r - 12*r. Let d(t) = -2*t**2 - t + 7. Determine d(g).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 112350?\nAnswer: 112351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1074 - 1073.999992608. What is y rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**4 + 1247*o**2 - 6*o + 1926. Let d(c) = -3*c**4 - 1246*c**2 + 7*c - 1927. Let g(b) = 6*d(b) + 7*u(b). Differentiate g(q) with respect to q.\nAnswer: 12*q**3 + 2506*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92016 is divided by 46004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38838, -77676, -116514?\n\"Answer: -38838*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -175 - 237. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 3*o + 5 + 2*o**2 - 3 - o**4 + 3 - 3 to p*o**2 + t + m*o**3 + y*o**4 + g*o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 10*i + 288 = 0. Let f(q) = -9*q**2 - 37*q + i*q + 4 + 0 + 1. Let c(v) = -14*v**2 - 7*v + 7. Determine 5*c(j) - 7*f(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 30299.\nAnswer: 60598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45043133 (base 6) in base 14?\nAnswer: -275333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2493?\nAnswer: -1246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2217 and -1?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 + 278*l**3 + 7714*l**2 + 30322*l - 38316 = 0. Calculate l.\nAnswer: -103, -31, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 9*u**5\/20 - u**2\/2 - 6*u. Calculate o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 69*f**2 + 17*f + 49. Let i be q(-3). Let u = -312 + i. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -363, -1110, -2233, -3732, -5607, -7858?\nAnswer: -10485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*t = 492*t + 4579993. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y. Let u(g) = 6*g**2 - 8*g - 5. Give -14*c(h) - 2*u(h).\nAnswer: 2*h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/(-8))\/(1\/4). Suppose 11*w - 2049 - 8 = 0. Calculate the highest common factor of x and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428.2 - 434.2. Put -1\/7, 8, k in descending order.\nAnswer: 8, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9342282?\nAnswer: 2, 3, 17, 91591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -13 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 + 607 - 240 - 4*b + 0*b in the form w + m*b and give w.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 266*f + 4. Let y(b) = -530*b - 9. What is 5*i(l) + 2*y(l)?\nAnswer: 270*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -b - 3*b + 4*s, 3*s = -b + 8. Suppose -2*i + 5*x = -95, b*i - 202 = i - 2*x. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 23*l**2 - l - 1. Let g be s(1). Let t = -19 + g. Let u(k) = -6*k**2 + 5 - 4*k**3 - 6*k**2 + 11*k**t + 3*k**3. What is u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Suppose 10*k - 48 = 2*k. Let a(b) = 3*b**3 - 12*b**2 + 3*b. Let p(u) = k*m(u) - a(u). Find w, given that p(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 116.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, -24, -135, -266, -423, -612, -839, -1110?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-4))\/((-1)\/(-2)). List the prime factors of 5\/((-3)\/(z + -3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -3 + (21 - 18) + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4 in descending order.\nAnswer: 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130) - sqrt(130) - sqrt(130))\/sqrt(10) + sqrt(13) + sqrt(13))**2 + sqrt(13)*-2*-4 + 1 + -3*sqrt(468)\/sqrt(4).\nAnswer: -sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:11 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from qkmqkqlmqki.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.263 equal to 80217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45432 + -45476.938. Let i = z + 45. What is i rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8722260 or -8722256?\nAnswer: -8722256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*b - 15 - 48, -b - 195 = -4*y. Let p = 79 - y. Let j = 5 + 11. Calculate the remainder when p is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5877 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = 3*b, 0*l - 2*b + 18 = 5*l. Solve 2*h - l*z - 14 = -0*h, -5*z = -5*h + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 12. Let t be q(10). Let o be (-12038)\/19701 - t\/99. Let l = o - -3\/199. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612815434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/31))\/((q**(-2\/5)*q)\/q)*((q*q*q**(1\/4))\/q)**(-20\/9))**(-1\/2) assuming q is positive.\nAnswer: q**(1006\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 - 328 = m. Let q(x) = 27*x**3 - x**2 - x + 1. Give q(m).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17*m**2. Let g(f) = 13*f + 6477. Calculate g(i(y)).\nAnswer: -221*y**2 + 6477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 a factor of 2314517907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 118804.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.052 - -32.052. Let x = h - 32.0000003. What is x rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 164, 233, 396, 695, 1172, 1869, 2828, 4091?\n\"Answer: 7*a**3 + 5*a**2 + 5*a + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c + (-2*c - 2*c + c)*((1 + 1 + 0)*(2 - 4 + 3) + 4 - 2 + 7) + c - 15*c - 5*c)*(c - c - c).\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 60. Let p(v) = v**3 - 13*v**2 - 15*v + 21. Calculate the remainder when y is divided by p(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9063889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24615 = 4*o - 5*u, 8*u - 5*u = -4*o + 24623. List the prime factors of o.\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 - -88 - (-1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -338.5.\nAnswer: 350.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2306.027 weeks?\nAnswer: 387412.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929178683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/15 - -4\/15. Let r = -6.1518 + 6.108. Sort r, -1\/4, q.\nAnswer: -1\/4, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 23 = 5*a, -5*d + 4*a = -9*d + 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - -1) + 1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*g - 17. Let m = 18 - g. Let u = 12 - 5. Calculate the lowest common multiple of u and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-322)\/161)\/((-2)\/(-2) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssd. What is prob of sequence dss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (30 - 17) - -35 - (-91 - -2).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(4000) - (sqrt(4000) + -2*sqrt(4000)))*4)\/(-4*(sqrt(96) - (-2*sqrt(96) - sqrt(96)) - sqrt(96))\/sqrt(12)))**2.\nAnswer: 2000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -8*q**7\/21 - 30*q**3 - 119*q**2. Differentiate j(d) with respect to d.\nAnswer: -320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 3*q)*(4*q - 6 + 6) + 31*q**2 - 54*q**2 - 39*q**2 - 5*q + 5*q + 5*q**2.\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:03 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.06.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1643\/469 + 3\/938. What is the nearest to 3 in -0.3, m, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 546.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l + 71 = 92*l - 94 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 + (4\/4)\/((-8)\/140). Suppose -c - 4*c - 15 = 0. Let o = 3 + c. What is the closest to o in 0.4, p, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*r = 211 + 65, 0 = 2*w - 5*r - 550. Suppose -o = -312 + w. What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 14*c. Let y = -0.09 - -1.09. Let a = y + 1. What is the third biggest value in c, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 4, n: 5, t: 1, f: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -66, -139, -242, -375, -538, -731?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5 + 3*n**2 - n**2 - n**2 - 8*n. Let x be c(8). What is the second derivative of -u**5 + u**x - u + 4*u - u**5 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from gqayyvaaavvfa.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 - (-99)\/55. Let g be 1*(36\/15 + -2). Which is the third smallest value? (a) g (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82979*m + 522753 = -82968*m. List the prime factors of m.\nAnswer: 3, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381976 (base 10) in base 16?\nAnswer: 5d418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 458680 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.16 - 627.16. Let f = v + 624.9743. What is f rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-92 - -33) + 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*q = 3, 102*j - 107*j + 4*q = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = 48. Let i be 21\/(-14)*o\/(-9). Solve 5*s = -i - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - w**4 + 2*w**4 + (0*w - 2*w + w)*(-22*w**2 - 350 + 350)*(-w - 5*w + 2*w)*(0 - 5 + 3).\nAnswer: 178*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, g: 9}. Give prob of picking 2 g.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99 - 99 + 6745*o**4 + 2171*o - 16*o**5 - 6797*o**4 wrt o.\nAnswer: -320*o**3 - 624*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 4*z + 16. Is k(35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955094759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/6 + o**2 - 2*o. Let v be f(1). Find the second derivative of -3*z - v*z + 9*z**4 + 2*z**4 wrt z.\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) 0.1 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + 227*c**2 + 790*c - 65. Give r(79).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4049, 8098, 12147, 16196?\n\"Answer: 4049*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13926286807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5 + 3*i + 6 - 7 + 0*i. Calculate k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 27*t + 129. Let i be y(-6). Let z = -6 + 10. Suppose -z*n - 5*l + 10 = 0, -2*n + 5*n = -i*l + 9. Solve -m + 6*m = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 2, w: 3, g: 1}. Give prob of picking 1 l and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 44*v**2 + v + 19. Let c be w(22). Find the first derivative of 111 - 236 - c*y + 113 wrt y.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.6404491 days?\nAnswer: 15.3707784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:17 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (24 + (-3 - 4)) - 2) + (7 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.1, -1, 2\/15, -2\/5, 18383?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 180, 277, 414, 591, 808, 1065?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-267)\/(-30) + (10 - 9) and 19\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5189*q - 127488 = 1590*q + 171229 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/15141*(-1)\/(-1)*(-12)\/(-2).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 196087 * 139\nAnswer: 27256093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r + 3*d, -6*r + 4*r + d - 3 = 0. Let b = -96 - 5. Let x = b + 98. Sort x, 1, r.\nAnswer: x, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 r when four letters picked without replacement from rnrninnnnnvnin?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(z\/((z*z\/z**17*z)\/z))*z)))\/z**(-1\/4)*z\/z**(3\/10)*z*z**(2\/13) assuming z is positive.\nAnswer: z**(-2833\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 3*p**2 + 2*p + 1. Let a be n(-1). Sort -36, a, -4 in increasing order.\nAnswer: -36, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13534498 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226145528.\nAnswer: 2, 7, 191, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let j = 6 + r. What is the second biggest value in 0.1, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1031517624 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -1.3, 2\/21, -5 in decreasing order.\nAnswer: 2\/21, 0.06, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1396, 1398, 1400, 1402?\n\"Answer: 2*t + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 5) in base 8?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/30 - p**4\/8 - 2*p**2 + 2*p. Let i(v) be the first derivative of x(v). Find the second derivative of i(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 34?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)\/sqrt(4) + sqrt(68) + -1 + sqrt(1377)*1*-6 + sqrt(1377))**2.\nAnswer: -252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216 or 26299\/122?\nAnswer: 26299\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t**(1\/16))**43)**(4\/3) assuming t is positive.\nAnswer: t**(-2795\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 15}. What is prob of picking 1 f and 2 o?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**3 + 5*v**2 + 8*v - 6. Let j(h) = 26*h**3 + 14*h**2 + 23*h - 17. Let l(y) = 6*j(y) - 17*z(y). Is l(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811039455 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12097?\nAnswer: 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 852 = -94. Which is bigger: -234\/11 or z?\nAnswer: -234\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 + 2 = 0. Suppose 0 = 4*s + 2*c - 222, -a*c + 3*c + 5 = 0. Let x = 84 - s. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60887 >= 60887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((108\/8)\/(-9)). Suppose i*q + 8*l = 5*l + 68, q + 5*l = 20. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -92.00102. Round o to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 906\/2114*14\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 274987.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c, -c - 2 - 5 = -v. Suppose v = 2*a - 4. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. Let v = b - -2.979. What is v rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237840467 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050792?\nAnswer: 2, 3, 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*u + 3*f, 2*u - 22 = -3*f + 4. Let k(x) = x**2 - 6. Is k(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2. Let r(v) = 29*v**2 + 17. Let s(l) = -10*l**2 - 6. Let f(t) = 6*r(t) + 17*s(t). What is f(z(x))?\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 7*u + 5. Let p(r) = 2*r**2 + r + 1. Let j(c) = 6*p(c) - x(c). What is j(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 5 = -j - 4*y, 5*j - y - 21 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1234886*0.159.\nAnswer: 196346.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 1 + 79. Find the third derivative of u*h**2 - 5*h**2 + 9*h**4 - 7*h**2 wrt h.\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3083*a + 15 + 1 - 12.\nAnswer: -3083*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4633 + 217 = -368*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7 + 2 - h + 1. What is a(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i - 1\/6*i**4 + 1\/30*i**5 + 1\/3*i**3 - 3\/2*i**2 - 2. Let d(j) be the second derivative of t(j). What is p in d(p) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 935.7 + -936. Which is the second smallest value? (a) j (b) 23 (c) -9 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122110111112 (base 3) to base 2.\nAnswer: 1010011111010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334084.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -45. Let j = u - 13. Let o = j - -12. What is the remainder when 66 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 14*m**2 - 15*m + 15. Calculate n(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-211883991)\/(-26433) - (((-8)\/(-9))\/1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9710?\nAnswer: 2, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142337 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, f: 5}. Give prob of picking 1 t and 3 f.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*45*(-32)\/144?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27590674?\nAnswer: 2, 3119, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 52. Let q be w(-23). Let o = -43 + q. Which is bigger: o or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m - 4*m. Let w be (m\/((-2)\/(-2)))\/(-5). Which is greater: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 - 3*w + 3. Let b(y) = -y**2 - 2*y + 1. What is 2*b(i) - o(i)?\nAnswer: 5*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-8)*12\/(-10). Suppose -5*c = -x + 18, 0*x - 3*c = 2*x + f. Suppose 0 = 5*j + x*i - 125, -46 - 61 = -4*j - i. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 4*r - 208. Let x(d) = d**3 - 14*d**2 + 12*d + 7. Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(1100) + sqrt(1100) + (-1 + sqrt(1100))**2*-5 - -1*sqrt(891)*-5).\nAnswer: -450*sqrt(11) + 33030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44)\/(sqrt(484)*-4).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/123 and 137\/912.\nAnswer: 37392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395d8 (base 15) in base 14?\nAnswer: 32454c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.8. Let j = 2.1 - x. Let f = -1.1 - -5.1. Is j at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2134117.0854965 - -0.02.\nAnswer: -2134117.0654965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -556 + 556.2. Which is the closest to l? (a) 0.2 (b) 1\/4 (c) -1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.679 and -3393.\nAnswer: -107486.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 115*b**2\/3 - 2275*b\/3 - 21125.\nAnswer: -(b - 65)**2*(b + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 72, 184, 348, 570, 856?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272106331?\nAnswer: 7, 5669, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -3354, -11745, -28090, -55041?\nAnswer: -95250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -27 - 171 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1349649999 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*i + 162*i - 28 = 0. Let q = 287 - 284. Solve 5*k - q*k - 2*j - i = 0, -4*k + j + 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -b58?\nAnswer: b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -100 + 94 + 2 + 23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(6*a**4 - 50*a**3 + 50*a**3) - 5*a**3 - 8*a**5 + 5*a**3.\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*h + 27454, -v + 7*h - 12*h + 5477 = 0. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 1 - 1)*(-y**3 + 5*y**3 - 3*y**3) + 409*y - 478543*y**2 - 2*y**4 + 478543*y**2 as k + t*y**2 + r*y**3 + f*y + j*y**4 and give f.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q + 4*d - 12, 5*q = 3*d - 9. Solve -h - 172 + 175 = q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - y + 1. Let k(a) = a**2 - 5*a**2 - 11*a**2 - 3*a - 3 + 5*a. Let w(f) = -2*j(f) - k(f). Let n be (3*4\/3)\/4. What is w(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 (base 7) in base 14?\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 13800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006 less than or equal to 15057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 20*d**2 - 10*d + 42. Let z be f(18). Let i = z + -1294. What is i rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(1 - 5). Let h(j) = -j**2 + 9*j + 1. Let y be h(9). Let r be (-5)\/(-3) - (-28)\/21. Solve -m*l - r = y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejb when three letters picked without replacement from hbjejbehjjbebo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 9\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/2)*(-348)\/348.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5383*r**3 + 5383*r**3 - 103*r**5 + (-2*r**3 - r**3 + 0*r**3)*(3*r + 2*r**2 - 3*r) + r**5 + 0 + 0.\nAnswer: -108*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 4380 + 14484. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 978087 and 5542493?\nAnswer: 16627479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/((-68)\/12 - -7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l**14*l*l*l))\/l)\/(l*l*l\/(l*l*l**13)))\/(l\/(l*l*l**0\/l))**(1\/39) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3386234 is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511000 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 699816 to the nearest 1000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*z - 22573 = z, -o - 5*z = -22577. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 2*g. Let z(n) = 5 + g - 1914*n + 1913*n. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:56 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36))\/((13\/13)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + 36. Let q(t) = t - 5. Let a(k) = 15*q(k) + 2*v(k). Let h be a(3). What is the smallest common multiple of ((-12)\/(-5))\/(h\/20) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24155339 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 + 315725*h**2 - 315725*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15756370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*-5*2\/(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*p - 104, 864*p - 861*p = 4*m + 68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k - 6*k - 5*k. Let i(f) be the first derivative of -2*f**3\/3 + 1. Calculate i(m(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.084 and 0.611.\nAnswer: -0.051324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j = 153*j + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 5, b: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 + 44 + 45 + 113*m in the form i + t*m and give t.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 150 = -290. Suppose 5*p = 3*i - 83, t = 4*i + p - 2*p. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 20. Let y(d) = -d - 9. Let w = 207 + -205. Let b(u) = w*o(u) - 5*y(u). Calculate b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 - -220. What is the remainder when (0 - -4)\/(3\/72) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666 (base 13) to base 8.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 10*r**2 - 43*r + 5\/2*r**3 - 5\/12*r**4. Suppose p(f) = 0. What is f?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 10 - 2. Suppose 8*u - 3*u + 17 = -k, -3*k - 6 = 0. Sort -5, u, m in increasing order.\nAnswer: -5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -163*m**2 + 4*m + 4. Let r(z) = -71232*z**2 + 1749*z + 1749. What is -1749*f(h) + 4*r(h)?\nAnswer: 159*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1b?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 415 = 19*j - 287 - 486 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/5)\/((-15 + -6)\/21) + (-148)\/5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(96)\/(-2*sqrt(4)))\/(sqrt(72)*-2).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 - 164.00000194. What is d rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26210879 and -103.\nAnswer: -26210982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 15. Let p be v(0). Let m(j) = 4*j - 59. Let s be m(16). Calculate the greatest common factor of s and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 298086151 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115.3 + -115. Round f to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. Let w be i(-9). Let n = w + 13. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9805, -39400, -88783, -157948, -246889, -355600, -484075, -632308?\n\"Answer: i**3 - 9900*i**2 + 98*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 22 = 5*j, -11*v - 3*j - 989205 = -989179 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqzq when four letters picked without replacement from {q: 5, z: 3, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909157 plus -1.7?\nAnswer: 3909155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -84*k**3 + k**2 - 3*k + 2. Let d be f(1). Let l be ((-3)\/(-12))\/((-285)\/d - 4). Let q = 17 + -16. Is l at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4391 + -0.01.\nAnswer: -0.4491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274259330 to the nearest integer?\nAnswer: 16561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1.3, 292979.\nAnswer: -3, -2, -1.3, 292979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 6. Let r(w) = 2*w**2 - 5. Let l(f) = -5*c(f) - 6*r(f). Let u(h) = 3*h**2. What is l(u(b))?\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*n - 181 + 181.\nAnswer: 410*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2075.9296 - -2079.92959952. Let p = -5 + 1. Let r = p + t. Round r to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x - 235. What is the units digit of z(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*(-8)\/(-80)*30\/35?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9*((-10)\/(-6))\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 271.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.9, -82, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**3 + 7*h**2 + 6*h. Let g(u) = -u**3 - u**2 + u. Suppose 52*k = 15*k + 37. Give k*b(a) - 6*g(a).\nAnswer: -2*a**3 + 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let r be (h\/1)\/(0 - 1). Suppose 5*b + v = b + 28, 3*b - 3*v - 21 = r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 > -671714\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-257)\/(-14). Let p = 1081\/28 - h. Calculate the common denominator of p and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -950 - -950. Which is the second smallest value? (a) p (b) 231 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -97*v**2 + 18*v - 18*v + 57*v**2 + 59*v**2. Let j(z) = -513*z. Give j(d(q)).\nAnswer: -9747*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a = 211 + 71. Solve n - 5 = -a*q, -q + 9 - 2 = -5*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 4. Suppose 608 = 4*k + x*f, -489 = -3*k + 5*f - 33. Suppose 2*u - 422 = -4*r + 146, k = r + 3*u. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1+-27.948508\nAnswer: -16.848508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7564, -67593, -232552, -554905, -1087116, -1881649?\n\"Answer: -8744*l**3 - l**2 + 1182*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.268 and 2.\nAnswer: 2.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*g - 498*g + 10*g**2 + 2*g**2 + 906*g.\nAnswer: 12*g**2 + 1430*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 - 10*f - 7. Let v(n) = -4*n**2 + 5*n + 4. Let l(p) = -6*t(p) - 11*v(p). Let j be l(-3). Let q be (4*(-3)\/(-432))\/j. Is 1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:28 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:36 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*f**3 + 429*f + f**2 + 224*f**3 - 860*f + 431*f - f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -34. Solve 4*o + 16 = l, -4*v = o - 7 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -283\/10 - -287\/10. Is l smaller than 5\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(304) + 0) + (sqrt(304)*1 + -5 + sqrt(304) - sqrt(304)))*-3 + -2)**2.\nAnswer: 9240*sqrt(19) + 74329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = -99. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42.9 - 43. Which is the smallest value? (a) y (b) 2 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**4 + 37*d**3 - 37*d**3 + (194 + 74 - 38)*(-12 + 12 + 7*d**4) in the form l*d**3 + w*d**4 + x*d + r*d**2 + n and give w.\nAnswer: 1622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d**2 + 3*d - 1. Let c(p) = -p**2 - p + 1. Let u(v) = -2*c(v) - r(v). What is the units digit of u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11562298 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - v - 581 = 0, -5*v + 3*v = 10. Suppose 6*s = 2*s + c. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-65) + 56\/10. Suppose j*k - 30 = 8*k. What is the tens digit of ((-680)\/k)\/((-2)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1475685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 3*m**5\/5 + 7*m**2. Let r(z) be the second derivative of -z**4\/12 - 7*z. What is r(q(c))?\nAnswer: -1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 17 + 9 = 4*c, -3*k + 9 = -c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: bc8 (base 14) to base 8\nAnswer: 4434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -45?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o + 5. Let t = 4 - 5. Which is the second smallest value? (a) 0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4226869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 18*z**2 + 4*z - 4. Let s(j) = -j**2 + j - 1. Let h(i) = l(i) + 6*s(i). Calculate h(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 2676*u**2 - 424000*u - 858672 = 0 for u.\nAnswer: -801, -2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(1026\/(-15)))\/(((-3910)\/102)\/(-23))\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 9. Let a be q(-7). Let b(u) = 7*u - 3. What is the tens digit of b(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 14397 - 4832. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.01 + -0.59. Let y = k - -3.2. Let i = -1.5 - 0.5. Which is the nearest to -2\/15? (a) i (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*66\/44.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.747216*0.1.\nAnswer: -0.8747216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -5 + 3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 - 4*q - 4. Let w be h(6). Let i(r) = 14*r**2 + r. Let y be i(-1). Suppose -y*d = -w*d - 55. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -6 - (526 + -531)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 6*o - 24. Let x be h(-8). Suppose -q = 12*t - 16*t - x, -3*t - 648 = -3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*d = 41, 273*p - 278*p = 5*d - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 18}. Give prob of sequence tttj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c + 7. Let g be l(-9). Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1106, -2366, -4480, -7460, -11318, -16066, -21716?\n\"Answer: -2*k**3 - 415*k**2 - k - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 29 = 137. Suppose -3 = -7*a + u. Find h such that 4\/3*h**a - 4*h**4 - 4\/3*h**5 - 16\/3 + 28\/3*h**2 + 0*h = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167080?\nAnswer: 2, 3, 5, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 31*n**2 - 6*n - 4. Let x(k) = -31*k**2 + 6*k + 7. Determine -3*h(f) - 2*x(f).\nAnswer: -31*f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -728*o**2 - 2*o**4 - 1 + 729*o**2 + 0 + o**3 to t + u*o**4 + w*o + r*o**3 + d*o**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1363\/15 - 91. Suppose 0 = 5*w - l + 34, w = -2*l - 3 - 6. Which is the closest to w? (a) p (b) 1\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202112020 + 211?\nAnswer: 22202120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1831, 1811, 1791, 1771, 1751, 1731?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2 + 2 + 3*f. Let u(j) = 3*j**2 + 4. Let q(h) = -7*h**2 - 9. Let v(l) = 4*q(l) + 9*u(l). Give y(v(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 193781 divided by -893?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1 + -66625.\nAnswer: -66619.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + 5. Let v = -113 + 40. Let q = v - -109. What is the remainder when q is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 200.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*g - 1. Let v be ((-3)\/(-2))\/(1\/g). Does 6 divide 0\/2*1 - v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3625 is divided by 143?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17922*b**2 - 2096*b + 182127138?\nAnswer: -35844*b - 2096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.7 and -454.67.\nAnswer: -3955.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 478.7483ug?\nAnswer: 0.4787483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212375617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 2*u + 1. Let w be m(1). Suppose 2*v + 5*z - 22 = 0, -441*z + 436*z + 18 = 3*v. Which is the nearest to w? (a) v (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1385812*t + 2770578*t + 6574582*t.\nAnswer: 7959348*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6100 + 6097)*(-7)\/36?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1536) - 2*sqrt(1536))\/((sqrt(108)*1)\/sqrt(9)))**2 + 5 + sqrt(12)\/(sqrt(48)\/sqrt(8)) + -1)*2.\nAnswer: 2*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.6 + 9. What is the closest to -2\/9 in -4, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17\/18 (b) 5 (c) 228.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1864.8126?\nAnswer: -1864.8126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4389 divided by 77?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607 is divided by 1181?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.7432ml to litres.\nAnswer: 0.4357432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -33. Which is the closest to l? (a) 5 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -21770?\nAnswer: 21770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)\/2*3. Suppose -n = -v*n + 4. Suppose 2*d - 14 = n*l, -3*d - 49 = -8*d - 2*l. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -931 + 6468. Does 113 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.38 - -22.48. Which is the second biggest value? (a) 3 (b) 0.062 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3487896*d + 3487899*d + 3487893*d - 2 - 3 + 5 - 10463687*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -19, 4, -60943?\nAnswer: -60943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394376 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 3. Let x(r) be the second derivative of 17*r**3\/6 - 13*r**2\/2 + 5*r. Determine -9*f(c) - 2*x(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (2 + 4)) + (-32 + 48 - -14)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2404*k = 47149 + 104303 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0 (c) -245 (d) -1\/9 (e) -0.02928 (f) 0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from {m: 5, c: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 42 = -7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-1518))\/((1\/(-1))\/((-3)\/1))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -11, -0.4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c + 45 = 5*p, 0 = 5*p + 3*c - 70. Let t(o) = -o**2 + 12*o - 7. What is the units digit of t(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/89 - 172\/267. Suppose 16 = 2*p - 0*p - 2*b, -4*b - 20 = 0. Let d = -8 + p. What is the second biggest value in -0.5, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/28 and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -486\/11. Let x = -19 - -9. Let v = -7 - x. Which is the nearest to 1? (a) -3 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {e: 9, q: 1, i: 4, f: 1, r: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - -660?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 2, l: 1}. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose c*n = 4 + 2. Factor q + q**n + 5 - 5.\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-5 - (-5 - 2))) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3, -79, 9, 21 in increasing order.\nAnswer: -79, -3, -2, 3, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*2.7.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 78*z - 3 - 24*z)*(-1 + 1 + z**3).\nAnswer: 54*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*s - 6*o, 264*o - 276*o + 5 = s - 6*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/75 + 42\/(-20). Suppose -5*x + 4*f + 10 = 0, -5*x + 10 = -0*f + 5*f. Which is the nearest to 0? (a) z (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161\/2 >= -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1\/3, -190 in increasing order.\nAnswer: -190, 1\/3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 31, 98, 221, 418, 707, 1106, 1633?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2896368*u**2 + 281*u + 82199?\nAnswer: -5792736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264)\/(-8) - 13)*(-2)\/10*-8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 30\/3 + -4. Solve 2*c = h*z + 18, 4*z + 13 = -3*c - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17626 - 17617. Solve 5*a + k*l = 8*l + 6, -3*a + 3*l = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13510?\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 17?\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d - 1\/4*d**3 + d**2 + 0.\nAnswer: -d*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*(g**(-3\/2)\/g)\/g*g)\/g))**21)**(-6\/11)*(g\/((g*g\/(g\/g**(2\/15))*g)\/g*g)*g**(-5\/3)\/g)**(1\/23) assuming g is positive.\nAnswer: g**(-36434\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 351 - 5252?\nAnswer: -4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -150, -350, -640, -1026, -1514?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 499*b**2 + 322?\nAnswer: 998*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4365 times 5\nAnswer: -21825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23864 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(95)\/sqrt(5)*-5 - (sqrt(114)*3)\/sqrt(6))**2*3 + (-1*(sqrt(2299) + 2 + 4 + 3))**2.\nAnswer: 198*sqrt(19) + 5173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 + 3*x**2 - 3. Let z(c) be the third derivative of -31*c**2 + 5\/6*c**3 + 7\/120*c**6 + 0 - 1\/12*c**5 + 0*c**4 + 0*c. Give -10*w(m) - 6*z(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2586114 * 0.4\nAnswer: -0.10344456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 + 2*c. Let m be 2\/(-4) + (-5)\/(-2). Let d(q) = -q - 2*q + m*q. Give d(a(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 36. Let b be k(-10). Let r(n) = n**3 - 7*n**2 + 6*n + 2. Calculate r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 108 = 11*d. Suppose 0 = -22*m + d*m - 16. What is the smallest value in -6\/7, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28512 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6 - 81*y**4\/4 + 4*y**3\/3 + 186*y - 2599. What is the third derivative of g(k) wrt k?\nAnswer: -360*k**2 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162150.4 from 0.1589.\nAnswer: -162150.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009028757 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 4\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388170858 minus 0?\nAnswer: 388170858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -5\/1472 (c) -3 (d) -9 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 38 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2086165\/99 - 63209\/3. Let g = 26\/9 - v. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*j + 33, 0 = 5*n - j - 177 - 21. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/90 + 13*u**5\/9 - 71*u**4\/9 - 1072*u**3\/9 + 1805*u**2. Find w such that a(w) = 0.\nAnswer: -67, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 5) to base 9.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.037 - -0.037. Sort 18, 3\/2, x, 5 in ascending order.\nAnswer: x, 3\/2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1*-4*(-12)\/16)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11873*l - 30 = g - 11868*l, -5*g - 35 = 2*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -3)\/((-6)\/(-8)). Let j(a) = -2 - 6 - 4*a + 1 - a + 12*a**2. Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2*h**3 + 85 - 9 + 31 - 2 to s*h**3 + d + r*h**2 + m*h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 16*j + 80. Calculate the greatest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4659, -4773, -4891, -5013?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -749514 greater than or equal to -749516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1664) - (-3*sqrt(1664) + sqrt(1664)))*3)\/(1*(sqrt(72) - -3*sqrt(72))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 - 275*v**4 - 3000*v**3 + 22500*v**2 = 0?\nAnswer: -30, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*g + g = 2648, 2*p - 3*g = -2644. Let v = -699 - p. Does 62 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9874 is divided by 349.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173\/(-519)*2\/6*8?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 21. Give g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-9)\/24). Suppose 0 = -q + y + 5. Is -1 + 606\/q*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 71, 64, 43, 2, -65, -164?\n\"Answer: -h**3 + 2*h**2 + 2*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -75*b**2 - 2571*b - 725. What is h(-34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-2)*-1 - -19. Let i = 112\/5 - t. What is the biggest value in -1, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.61 + -1.39. Which is the closest to 0.8? (a) -0.1 (b) 0 (c) z (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05322 plus 0.4?\nAnswer: 0.45322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/497920 and -93\/704.\nAnswer: 5477120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 4. Let n be u(6). Let w(i) = 5*i + 1. Let x be w(n). Solve 2*m + x = h, 0*h + 4*h - 11 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -160\/1153 (b) -1\/6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*q + 6, 0 = 3*t + 4*q - 3 - 3. Let d be 4\/2*-1 - -2. Let r(l) = 2*l**2 - l**3 + d*l**t - l + 24 - 23. What is r(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxi when three letters picked without replacement from xiztzzziizxznnx.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*p + 18 = -7*p, 2*d + 4*p = -12. Suppose -15 = -y + 103. Is y + 6*d\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -4615223?\nAnswer: -4615230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 8*q - 2*h, q = -4*h + 6. Let r(k) = 36*k + 72. Let d be r(q). Which is the closest to 13? (a) -0.3 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 + 12550*x**2 - 25115*x + 12560 = 0. Calculate x.\nAnswer: -2512, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -7264710.7.\nAnswer: -7264698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 14*s**2 - 23*s - 13. What is k(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/25)\/(-2*(-3)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 34*s - 26. Suppose -2*a + 42 = -0*a - u, 2*a = -u + 42. What is the units digit of z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -2\/11, -2, -0.1, 4, -0.03471?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**4 - 4*n**3 - 2. Let a(f) = 4*f**4 - 3*f**3 - 1. Let b(r) = 4*a(r) - 3*i(r). What is the derivative of b(j) wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -34*s**2 - 3724*s + 5551. Calculate l(-111).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 14*v - 8. Calculate o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3202*d**2 - 3*d - 14. Let x(s) = -91*s. Determine b(x(w)).\nAnswer: -26515762*w**2 + 273*w - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -4, -0.2, -4\/3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 55, -186 in decreasing order.\nAnswer: 55, 1, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 44*j - 34. Let a be i(4). Suppose a + 542 = 4*y. Let s = y + -95. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 325334.\nAnswer: 35\/325334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24383 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 5. Let i be b(-8). What is the highest common factor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 - k + 1. Let w = -10 - -3. List the prime factors of i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 244061790?\nAnswer: 1952494320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 90970*k - 16 - 89275*k)*(-2*k**2 + k**2 + 0*k**2).\nAnswer: -1695*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:52 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 + ((-10)\/35 - -1). Let z(m) = -3*m**3 + 2*m**2 - 1. What is z(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {t: 2, m: 3, p: 4, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77\/4 - 96\/5. Let u(f) be the third derivative of 0*f + 1\/6*f**3 - 1\/120*f**6 + 0 + 2*f**2 - 1\/8*f**4 + x*f**5. Factor u(a).\nAnswer: -(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27653848*f**2*n**3 - 2347002*f**2*n*o**2 - f**2*o**2 + 4*f*n**4*o**2 + 3*f*o + f - n**2 wrt n?\nAnswer: 165923088*f**2 + 96*f*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 128 = 4*o. Let d be (-3)\/((-27)\/o) + -1 + 4. Which is the smallest value? (a) d (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53c37 + 12?\nAnswer: 53c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -15*f + 46. Let w = f - 26. Differentiate -17*o**2 + w*o**2 + 11 - 14*o**2 with respect to o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12398 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 4053154?\nAnswer: 4053154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29906888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 107*n**2 + 15 - 4 - 36 - 3*n**3.\nAnswer: -3*n**3 + 107*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -2.\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(12)\/sqrt(2)) - (sqrt(931)*-3 - sqrt(19))) + 4*(sqrt(684) + (sqrt(684) + 1)*-3)**2 + -5.\nAnswer: 311*sqrt(19) + 10975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 2. Let s(d) = 5*d - 281. Determine -s(i) + v(i).\nAnswer: -i + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -2\/3, -249, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 1 - (-27)\/15. Which is the third biggest value? (a) d (b) 2\/15 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-5)**2 - -2*sqrt(112) - (-2*(sqrt(49) - sqrt(98)\/sqrt(2)))\/sqrt(7).\nAnswer: 8*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 17. Let z be y(-14). Solve -6*h**2 + 0 - z - 3*h**2 - 9*h - 3*h**3 + 0 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -6389\nAnswer: 25556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12324081*r*u - 61726502*u wrt r?\nAnswer: 12324081*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-37 - -4)) + -41 + 21 + 25.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 4*p**5 - 2*p**5 + (-3*p**2 - 2*p**2 + 4*p**2)*(2*p**3 - 3*p**3 - p**3) - 2*p**5 - p**4 + p**4 - 1274*p**5 - 30*p - 25*p - 31*p + 86*p.\nAnswer: -1272*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -17089.\nAnswer: -17089.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 177\/(-180) + (-363)\/(-2420)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -36. Let z = 6 + -11. Is 11 a factor of (-2 - w)*(z - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 - 71*z**2 - 152*z + 129. Let h(d) = -2*d**3 - 47*d**2 - 101*d + 86. Let r(p) = -5*b(p) + 7*h(p). List the prime factors of r(-23).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-2\/81)))\/((x*x**(-3\/22)*x)\/x)*(x*x\/x**(-12\/5))\/((x*x**25)\/x) assuming x is positive.\nAnswer: x**(-182111\/8910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(d - 2*d + 0*d) - 6*d + d - 6*d)*(-64 + 147 - 62).\nAnswer: -210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131415*j - 131274*j - 8178 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 21. Let v = 10 + u. Let y = -27 - -28. What is the nearest to y in -2\/5, 4\/3, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1, 1\/6, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 38 = -k, 0*k + x = -3*k + 154. Let p = k + -7. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270456591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 366 + -3?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -12.8. Let y = n - -13.5. Sort -0.2, y, 3 in descending order.\nAnswer: 3, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103872 divided by 8\nAnswer: -12984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 328571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4056*h**2. Let o(u) = -u**2. Calculate a(o(g)).\nAnswer: -4056*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {z: 2, v: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {p: 1, f: 2, n: 3, q: 13}?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18034706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1.463831.\nAnswer: 7.319155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llra when four letters picked without replacement from aylayrqyqxly.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggygggggyggggggg. What is prob of picking 4 g?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3 - 2*b**2 - 1\/120*b**6 + 0*b + 1\/10*b**5 - 1\/6*b**4 - 1. Let p(c) be the second derivative of y(c). Determine p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -34. Suppose f*x + 392 = -5*x. Let z = x + 54. Is z less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(252) + 1) - (3 + (sqrt(252) - (sqrt(252)*-2 + 4 + sqrt(252)))))**2*-5*5.\nAnswer: -227025 + 5400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*s + 2*t = 353*s + 8, -4*s - 8 = -3*t. Let q(c) = 4*c + 14. What is q(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1458*x**4 + 38139*x**3 - 67040469*x**2.\nAnswer: -34992*x + 228834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(456\/29260)*(-17)\/(-187).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5 - (12 + (16 - 8))) + 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 9\/(18\/(-8)). Let m(k) = k**3 - k**2 + 3*k + 1. Let l(g) = -3*g**3 + 2*g**2 - 9*g - 2. Let i(w) = 3*l(w) + 8*m(w). What is the units digit of i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 88. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 48 + 12. Suppose v*a = u + 979, -59 + 380 = a + 5*u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 804633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*w + 4*w + 19 = 0, -3*r = 2*w - 72. Which is greater: r or 21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.072 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5254*y + 1503*y - 2108*y.\nAnswer: -5859*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 8256198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0 + 0*a**4 + 0*a**5 - 2*a + 0*a**3 - 1\/30*a**6 - 1\/2*a**2. What is the derivative of h(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3)\/((-27)\/21) + 1. Suppose 16 = -3*o - 2*k, -2*o - 2*k = 15 - 1. Which is the smallest value? (a) o (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/22 + (15 - 18). Let a = l + 112\/55. Put 4, -2, 5, a in ascending order.\nAnswer: -2, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 5*m**2. Let j(y) = 2*y + 2*y**3 + 55*y**2 - 2*y - 59*y**2. Let p(f) = -3*c(f) + 4*j(f). Find the third derivative of p(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-2 - 1)) + 302 + -203\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-39) + (-1)\/3. Suppose -4*f - 7 = m, 0*f + 8 = 2*m - b*f. Differentiate -m - 6*n + 3 + 5 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 23) + 50 - -10. Solve -f*q + 58*q = -80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/35220 and -37\/669180.\nAnswer: 669180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1.2, 0.02 in descending order.\nAnswer: 2\/5, 0.02, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddgfnghn. What is prob of picking 1 d and 2 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -12 - c + 1\/2*c**2. Let x(u) = u**3 - 22*u**2 + 38*u + 42. Let a be x(20). What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 15*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22031 (base 4) to base 11\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2042171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 18*k**2 + 4*k - 31. Let f be q(9). Let s(i) = -i + 18. Give s(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004429 rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 47*f + 570. Let s be t(10). Let g(n) = -n**2 - 3*n + 72. Let p be g(7). Solve -2*l + p = 5*i - 0, 2*i = s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 52*h + 737. Let g be l(-14). Solve 0 = -5*v - n - 3, -8*v = -7*v + 3*n + g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7483 plus 5775581?\nAnswer: 5768098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-2)) + 2. Suppose s*t + 12 = 4*f + 4, 0 = -4*t. Suppose -x - 2*u = 0, -2*x - u + 5 = x. What is the greatest common divisor of x and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 348151339 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/5625 and 79\/182223.\nAnswer: 113889375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 534.9.\nAnswer: -213.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thqh when four letters picked without replacement from tgxxghxhxhxqxxxgppqx.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203 + 21111321?\nAnswer: 21100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let j be (5 + -51)*(1 - z). What is the highest common factor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*d**3 + 6*d**2 + 0*d - 3\/2*d**4 + 0.\nAnswer: -3*d**2*(d - 1)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.735891s in milliseconds?\nAnswer: 2735.891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 + 8 - (-24 + 27). Solve -w*t + 5 + 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*q = -811828, -43*q + 405932 = r - 48*q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -7*j**4\/3 + 51*j. Let z(w) be the second derivative of 0 + 0*w**3 + 0*w**2 + 1\/6*w**4 + 2*w. What is s(z(y))?\nAnswer: -112*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 88. Determine q(5).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 37*d - 31. Suppose -133*p = -136*p + 6. Is a(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*7\/(-28)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.2 - -28. Let n = -9.9 + 2.9. Which is the nearest to 2\/5? (a) -1\/4 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) + (sqrt(65)*-1 - sqrt(65)))*6)\/(sqrt(50)\/(sqrt(30)\/(sqrt(12)\/sqrt(4)))).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -0.42?\nAnswer: 7.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -67697.\nAnswer: 5\/67697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 0. Calculate the lowest common multiple of 706 and w.\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1172564 divided by 4.\nAnswer: -293141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - t**2 - 5*t**2)*(4 + t - 4)*(-3 + 7 + 0).\nAnswer: -24*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(36\/(-1))\/4. Suppose 0*n - 3*n - p = -2*x, 3*x = 5*n + 41. Does 34 divide -48*8*(-3 + 34\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593195 is divided by 39546.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2\/(-3) - 34\/(-42))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22040089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - c**3 - 8*c + (11*c - 2*c - 2*c)*(0 + c**2 + 0).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -411*h - 1128. Does 62 divide q(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1204101 - 1204095. Let b = 2 + -2. Suppose 4*k - 26 - 1 = -3*w, -k + 3 = b. Solve 9 = w*l - s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 425 + -3395\/8. Let j = 7\/40 + w. What is the fourth smallest value in -0.5, 0, 2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*h**5 - 845*h**4 - 49205*h**3 + 677285*h**2 - 1917100*h + 89760 = 0. Calculate h.\nAnswer: -24, 1\/21, 4, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167532 is divided by 10447.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -33\/549613?\nAnswer: -33\/549613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(600) - sqrt(600)*2))**2 + (-2 + (sqrt(26) - (sqrt(26) - sqrt(416)))\/sqrt(2))**2.\nAnswer: -16*sqrt(13) + 21213\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -15f6?\nAnswer: 15f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.496982 days to weeks.\nAnswer: 9.642426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 193570*w**2 + 9367336225*w.\nAnswer: w*(w - 96785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7701961.\nAnswer: 7701961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 23*q + 28 = 0. Differentiate -28*y**q + 15*y + 122 + 32*y**2 - 13*y wrt y.\nAnswer: 8*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495348618 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*k**4*t**3 - 4*k**4*t + 123*k**2*t**3 - 2*k**2 + 3*k*t**3 wrt k?\nAnswer: -4680*k*t**3 - 96*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6108892 and 55\/2788842?\nAnswer: 128286732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.04 * -0.09.\nAnswer: -4.3236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1 + 5 - 4 - 4*n. Let l(b) be the first derivative of -b**3\/3 - 3. Calculate x(l(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1028 (b) 5 (c) 0.18 (d) -5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 34. Give b(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 - 458.5. Sort 4, -5, u, -3.\nAnswer: -5, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -11 - 13) + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65455\/25175*50\/3705?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.62 + -22.12. Which is the closest to 1? (a) 7\/3 (b) r (c) -3\/2 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2105 divided by -421.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 18. Let f be k(0). Let i(o) = o**3 + 17*o**2 - 27*o - 57. What are the prime factors of i(f)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**3*z**2 + 4*d**2*z**2 + 66*d*z**2 wrt d?\nAnswer: -168*d*z**2 + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2894011*x**4 - 547017 wrt x?\nAnswer: 11576044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 45 = 3*w. Calculate the highest common divisor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 a factor of 2587104515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -2, -1, 407 in ascending order.\nAnswer: -124, -2, -1, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let f(k) be the third derivative of -k**7\/5040 - k**6\/120 - 13*k**5\/10 - 3*k**2 + 11. Let v(g) be the third derivative of f(g). Give l(v(d)).\nAnswer: -d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y - 3. Let a be s(3). Let b be ((-45)\/a)\/(1\/(-3)). Let q(f) be the first derivative of -f**3\/3 - 2*f**2 + f - 1. Calculate q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjnu when four letters picked without replacement from {n: 2, u: 2, b: 2, q: 5, z: 1, j: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5227 (base 10) to base 7.\nAnswer: 21145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 73136.\nAnswer: 365680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**5 + 6*r**2 + 19*r**5 + 8*r**2 wrt r?\nAnswer: 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, -15678, -62 in decreasing order.\nAnswer: 5, -1, -3, -62, -15678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*w**2 + 0*w**2 - 3*w**2)*(2 + 2*w - 2) + w**3 - w**3 + 2*w**3)*(240*w - 233*w + 97 - 73) as o*w**4 + g*w + q + u*w**3 + z*w**2 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2 + 5)*-3. Let m be 16 + 1\/2*n. Let d = -2 + m. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7948 by 3974.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1 (c) 0.4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtggtpgp. Give prob of picking 1 t and 3 g.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 113 = -4*c, -k - c + 4*c = -41. Solve 0*h - 7*h = -k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Suppose -3*c - 3 + 12 = o. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1001060, 2002176, 3003292, 4004408?\n\"Answer: 1001116*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10*s = -5*g + 20, 2*g - 28 = -2*s. Solve 2*n - n - 4*m = -12, -g = -n - 3*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 + 22*f - 18. Let d be g(10). Suppose l + l - 2*o - d = 0, 2 = -o. Which is the biggest value? (a) -5 (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*p + 490*p = 206*p - 23159 - 38851 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61e8 (base 15) in base 5?\nAnswer: -1130233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132021 (base 4) to base 12.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 4. Let b(l) = -l**2 - 6*l + 3. Let x be (2 - (-5)\/(-3))\/((-77)\/(-693)). What is x*d(h) + 4*b(h)?\nAnswer: -4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-117))\/(2\/(-3))*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Let o = -196 - -196.278. Let q = -5.722 - o. What is the third biggest value in x, 2, 4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 534 - 4*z + 534.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865 is divided by 368?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w - 34. Let h = -7 + 7. Let k be y(h). Is (-9)\/6*-2 - k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 20*j - 1936 = 0. Find f such that -j + 2*f**2 - 3*f**2 + 3*f + 92 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. What is the remainder when 35 is divided by x\/(-6) - 175\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 34*s**2 - 77*s - 11. Determine i(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 4*o**3 + o**3)*(3 - 3 - 4*o**2) + 12*o - 12*o - 2*o**5.\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304371937 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3970.8718262 + -0.12.\nAnswer: -3970.9918262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484412559 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/6)\/(-8))\/(-33*1\/18)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 887859 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 - 4*r - 10. Let l be s(6). Suppose 0 = y + 5*b - 486, 2*y + 0*y - 956 = -l*b. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 6.6, -0.4, 0.4 in decreasing order.\nAnswer: 6.6, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -6)\/(3\/(-4)*2). Solve -2\/9*o**s - 2\/9*o + 2\/9*o**2 + 0 + 2\/9*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6371, 12757, 19155, 25565, 31987?\n\"Answer: 6*l**2 + 6368*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -495 + 501. What is the highest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43109, 84822, 126525, 168212, 209877, 251514?\nAnswer: 293117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6142100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37956171 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 9*v**2 - 11*v + 131. Give s(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 8*r**3 + 4 - 11*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 + -223547575.\nAnswer: -223547471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6768047 divided by -520619?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 + 8*m + 4. Suppose 2*x - 9 = x. Let d(o) = -9*o**2 - x*o + 2 + 6 - 13. Calculate -6*d(w) - 7*i(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, -2, -43, -114, -215, -346, -507?\n\"Answer: -15*c**2 + 34*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiriir. What is prob of picking 2 r and 2 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -24 (c) 1\/17 (d) -1\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -36*a**5 - 243620*a**4 - 3215440*a**3 - 3620240*a**2 - 648384*a = 0?\nAnswer: -6754, -12, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0314 - 204.9686. Let i = 204.825 + h. Round i to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 13*t + 14. Calculate the remainder when w(-10) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*a*o**3*x**2 + 331*a*o**3*x + 49095*a*o**3 - 2*a*x**2 - 8180*x**2 wrt x?\nAnswer: 102*a*o**3 - 4*a - 16360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 389418 divided by -129806\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-12))\/((-2)\/(-8)) + (-1280664)\/139392?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375535?\nAnswer: 5, 19, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -58*(-43)\/(-129).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:47 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122211 (base 3) to base 6.\nAnswer: -52334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -15*m - 12. List the prime factors of m\/44 + (-108)\/(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 greater than or equal to 468\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3240\/32)\/45)\/(51\/16). Which is the smallest value? (a) 0.07 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -397 - -242. Let m = -90 - 10. Let b = m - n. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvi. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*x - 7911 - 3459, 3*x + 2298 = u. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 14*i - 2. Determine a(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 24*q**2 + 90*q - 1728. What is m(24)?\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*n + 258*n + 56 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 2*l - 1. What is the remainder when f(-5) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(12\/8 - 3). Suppose 0 = 5*r + 1 - t. Put -3, r, -6 in decreasing order.\nAnswer: r, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*h + 1 = 0, z + 2 = -z + 4*h. Solve -4*j = 3*c + 4 + 25, z*c + 19 = -2*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1539) + -3 - sqrt(1539)) + sqrt(1539) + sqrt(1539) + sqrt(1539) + (sqrt(1539) + -1)*5 + -4)*3)**2.\nAnswer: -10368*sqrt(19) + 887040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644201 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p**3 - 3*p**2 + 5*p - 11. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -c + 4*q + 527, -4*c + q + 1963 = 0. Calculate the least common multiple of 18 and c.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112940933 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3860823283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5281 or -5275?\nAnswer: -5275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647.\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 280 - 152. Let s(c) = c**2 - 4*c + 20. Calculate the remainder when 569 is divided by s(q).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 110*v - 112*v - 12, 3*v + 31 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1526 and 3\/14?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(85))\/sqrt(5) - sqrt(204)\/(sqrt(24)\/sqrt(2))) + -4 - (sqrt(272) - (-3 + (-1 + sqrt(272) - sqrt(272))))*5)**2*-6.\nAnswer: -40278 - 5472*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 2328*u + 2455*u - 4651*u + 2*u**3 to h + y*u**2 + m*u**3 + b*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/30 - (3 - 54\/15). Suppose q*c = -3*i + 111, 4*c + i - 205 = -69. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 2. Let i(n) = n. Suppose 3*h - 3*q - 9 = 0, -5*h - 2*q + 5 = -3. Give h*i(t) + g(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 1200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 281.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 265 in 0.4, -8, -0.2, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and 2\/(-14) + 1254\/105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**4\/4 + 8*w**3\/3 + 3*w**2\/2 - 2*w + 12. Factor b(t).\nAnswer: (t + 1)*(t + 2)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896 - 12*f**3 - 2*f**3 - 10*f**3.\nAnswer: -24*f**3 - 896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 13, 40, -11, -6 in increasing order.\nAnswer: -11, -6, 9, 13, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1921*n + 4*n**3 - 913*n - 1008*n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 2*b - 6*b)*(-3*b**2 - 35*b**3 + 492 - 492) in the form c*b**2 + i*b + g*b**3 + n + u*b**4 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(60\/(-12) - (-1 + -6)). Suppose 2*g - 720 = 3*l, r*g - 720 = l - 2*l. Is 30 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -11, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19475899 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8115 - 0.26334955.\nAnswer: -8115.26334955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 142\/12)*(60\/54)\/(-5).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19736440 divided by -7.\nAnswer: 19736440\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24*132\/165\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0 (b) 0.5 (c) -0.1954\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006523219 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 20. Let f(g) = -g**2 + 9*g - 7. Let t be f(5). Let r = k - t. Sort -5, 3, r in increasing order.\nAnswer: -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/t)**(-35)\/((t**(2\/15)\/t)\/t**(-7\/5))*((t\/(t**0\/t)*t)**(-3\/11))**(-45) assuming t is positive.\nAnswer: t**(212\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (-3 + (-2 + sqrt(500))*2 + 1)**2*1.\nAnswer: -240*sqrt(5) + 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 10*k + 1. Let r be h(-10). Let b be (-2 + 1)*(-2 - r). Suppose b*z - 10 = -2*z - d, 10 = 5*z + 5*d. Put -2, 3, z in decreasing order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719505 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + 3*g**5 - 5*g**5 + g**5 + 5*g**5 - 4*g**5 + 2*g**4 - 2*g**4 - 2*g**5 + (-2*g**2 + g**2 + 3*g**2)*(2*g**3 - 4*g**3 - g**3) - 1 + 1 + 2*g**5.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 2*p + 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - 4*f**2 - 4*f + 15. Give c(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + (-3 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 201*c**2 + 398*c**2 - 194*c**2 + 21*c - 14 - 30*c.\nAnswer: 3*c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1))*m*m**7\/m)**(-8\/17)*(m*m\/m**(2\/3)*m)**34\/(m\/(m\/m**(1\/3))*m*(m**3*m)\/m) assuming m is positive.\nAnswer: m**(1227\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w + 3*t, 4*w - 12 = t - 2*t. What is the second derivative of 2*o + o**4 + 3*o**w - 3*o**2 - 8*o wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180332, -1442741, -4869286, -11542037, -22543064, -38954437, -61858226?\nAnswer: -92336501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26818654?\nAnswer: 2, 13409327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from mmjqummmmju.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203984 divided by 2684.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + -5 + 156 + -104?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 - -6. Let h = 0.1 + z. Let o = 787\/1582 - -2\/791. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -51. Suppose 0 = 4*l - 2*l + 16. Let r = b - l. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 5188090?\nAnswer: 5188091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/56 and -39\/49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65766829151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7146281 divided by 97.\nAnswer: 73673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147611 = -5286*w + 116689 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67291 - -98646. What are the prime factors of v?\nAnswer: 5, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -18 - 18. Suppose 12*o + 6 = d*o. Let y be (1 - 6\/o) + 1. Solve -5*a - 4*q = 27, 0*a + y*a + 18 = -q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-194)\/(-4) + (-80)\/32. Is c*(-6 + 114\/12) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/21 (b) 3\/8 (c) 18\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/709165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*f + 8232 - 18952 = -126544 for f.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3 - -5)) + 3 + (-7 - 22)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 - 7. Let d(m) = -m**3 + 3*m**2 - m - 2. Let u be d(2). Let a(f) = -n*f + 2*f + u*f. Let v(x) = x**2. What is v(a(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:27 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/8)*q\/q**(-1\/5))**(-5\/7) assuming q is positive.\nAnswer: q**(-83\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)*k*k**6*((k*k*k**(1\/8))\/k*k)\/k*k**(-8))**42)**26 assuming k is positive.\nAnswer: k**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -134.606.\nAnswer: -53.8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (33 - 53) + 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s + 8. Let d be f(0). Suppose 128 = 30*l + 8. Suppose -l*b + 42 = 17*b. Solve -d = b*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 - 25*m - 167. Let s be n(10). Let l(d) = -d**3 - 16*d**2 + 19*d + 37. Calculate l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -14 - 4*h**4 + 0*h + 0*h**2 + 1\/3*h**3. What is the third derivative of p(y) wrt y?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201445887 to the nearest integer?\nAnswer: 14193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 0*p**4 + p**4 - 3*p**2 + ((-10 - 4 + 3)*(p + 2*p - 5*p) + 3*p + 2*p - 7*p)*(2*p**3 - 2*p**3 + p**3).\nAnswer: 21*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 160*s + 24 - 22.\nAnswer: 160*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1197 = -2*z. What is the tens digit of (-2)\/8 + z\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/685119 and 19\/31866.\nAnswer: 1370238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 693.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/4 + 2181*i**4\/2 - 17529*i**3\/4 - 12033*i**2 - 6561*i = 0. What is i?\nAnswer: -1458, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/9 - 67048*h\/3 - 402296\/9 = 0 for h.\nAnswer: -2, 100574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 883336837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399221*x**6 + 37*x**2 + 851*x + 2 wrt x?\nAnswer: 47906520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17954480.48 rounded to the nearest one thousand?\nAnswer: -17954000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66774964 or 66774963?\nAnswer: 66774964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 2*k + 6*k + (5 - 1 - 2)*(-2*k + 1 - 1) to u + o*k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 10*z**2 + 2*z**2 - 9*z**2 - 6*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1628, 1641, 1654, 1667, 1680, 1693?\n\"Answer: 13*h + 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Suppose -2*l + 2 = -2. Let y(u) = u**2 - 5*u + 4. Let g be y(5). Solve 3*b = l*n - 5, -g*n - s = 5*b - n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 311, 625, 927, 1211, 1471, 1701?\n\"Answer: -y**3 + 321*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 434?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 14, 15, 16, 17, 18?\n\"Answer: j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676800 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23855 + 5?\nAnswer: 23861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*v + 5*v. Let n(r) = 2*r**3 - 5*r**2 - 6*r + 1. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 - 842 = 109*u + 34 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002287899382 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138154.499 rounded to the nearest ten?\nAnswer: 138150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 68388 = 22*w. Suppose 10*j = 1471 + w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 11*b**2 + 11*b + 5. Suppose -26*l - 1149 + 889 = 0. What is j(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-1296)\/(-32))*-45\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 4:03 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-21))\/(2835\/2205).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.8 (b) -5 (c) 0.4 (d) 1\/2 (e) 205 (f) -1 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -29062?\nAnswer: 1\/29062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78\/5237 + 146969\/3142200. Find the common denominator of -107\/190 and p.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148729 is divided by 9914.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 175, 362, 585, 844, 1139?\n\"Answer: 18*k**2 + 133*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:00 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20389, 41055, 61721?\n\"Answer: 20666*f - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 12*h - 6*h + 2*y + 18, 5 = -y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4195011 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, 5\/4, 4, -24605?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 - 4. Let h be (-12)\/(1 - (-22)\/(-18)). Let j be ((-4)\/6)\/(12\/h). Calculate o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v - 50*v - y - 8 = 0, 3*y + 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 8*h - 5*h - h + 1 - 1 + (4 + 2 - 5)*(2*h + h - h))*(-3*h + h + 0*h) to the form p*h + r*h**2 + y and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7287, 8284, 9947, 12276, 15271, 18932, 23259?\n\"Answer: 333*x**2 - 2*x + 6956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5314 (base 8) in base 16?\nAnswer: -acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g - 4. Let t(s) = 13*s - 8. Determine 11*p(q) - 6*t(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.7034 at least 0.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42542 + -2932. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*o**2 + 1516\/5*o + 0 = 0. Calculate o.\nAnswer: -758, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 4 (c) -4581\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71ed (base 16) in base 3?\nAnswer: -1111000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1291 + 1297. Calculate the highest common factor of p and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274 and 3730373.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, f: 3, a: 2, d: 2}. What is prob of sequence sfd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - 5 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*(-6 - -11). Solve -z*x + 3*f + 10 = 0, -2*x - 5*f + 29 + 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372.968684 + 2.34\nAnswer: -370.628684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (52832 + 322*j - 52832)*(-2 - 2*j - j + 0) as c*j + a*j**2 + u and give c.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.453621cm?\nAnswer: 0.03453621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4815 - -4819. Put c, -3, 3, -1299 in descending order.\nAnswer: c, 3, -3, -1299","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1832 - -5650. Is y a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bb (base 14) in base 13?\nAnswer: -45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 66 - 212 = 76*k + 218, 4*k = -4*f - 208 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4149\/5 - 54207\/65. Let c = 3\/52532 + 15207819\/3414580. Let x = c + z. Find the common denominator of x and -37\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - 3*p - 0*p, -12 = -3*p. Let t be 1 - (-3 + (a - -16)). Is 4\/(-16) - 375\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/30 - 5*m**4\/24 + 3*m**3\/2 - 17*m**2. Let k be a(4). Let q = 12 + k. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.2, 0, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhy when four letters picked without replacement from ryhxxlxxllh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 7, u: 6}. What is prob of sequence ccoc?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3941 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -10) + -4 - -3. Suppose 0 = -a*l + 5*l. Put -4, l, -1 in ascending order.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59.5 and 53.29.\nAnswer: -3170.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 5.8. Let s = -38 - -269\/7. What is the third biggest value in u, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 3*w**4\/4 + w**3\/3 - w**2\/2 - w - 17. Let t be n(1). Solve -t*g - 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204193 is divided by 314?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-8))\/(14\/(-392)). Suppose 0*m - j = -5*m. Is 9 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -4*t + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.74 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.581 + 0.301. Let n = -8.28 - i. Let t = 47\/7 - 7. Which is the biggest value? (a) n (b) 1\/6 (c) -0.3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 16*v + 4168. Suppose 0 = 4*s + g + v, 0 = 2*s - 3*s + 3*g - 508. Let x be (77251 - 1)\/(39\/s). What is x rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 34*q + 157*q + (2*q - q - 3*q)*(-2 + 3 + 2))*(-1 + 0 + 0) as o*q + z and give o.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0*p - 3*p + 0*p. Let f(a) = 2*a + 13. Let b be f(-7). Let t be q(b). Solve t*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -70. Let g be c\/(-3 + 360\/124). What is the highest common divisor of 31 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 8, z: 4}. Give prob of sequence sz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288 + 279. Is (-11)\/((-792)\/16) + (-13705)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 145, 5, 3, -4, -3 in ascending order.\nAnswer: -20, -4, -3, 3, 5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*d + 4*j, -2*d + 10 = -j + 3*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 + 2*l + 2. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 times -7.3?\nAnswer: 51.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78.2198 years?\nAnswer: 0.0782198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 + 3819*t - 2164950 = 0 for t.\nAnswer: -1698, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**3\/45 - 152*w**2\/15 + 11552*w\/15 - 242. Factor h(m).\nAnswer: 2*(m - 76)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 905, 1777, 2997, 4565, 6481, 8745?\nAnswer: 11357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 88*f + 87*f + 636 + (2 + 0 - 1)*(2*f - 2*f - f) + (-3 - 2 + 3)*(-3*f + 2*f - 3*f).\nAnswer: 6*f + 626","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-20) - 17\/((-578)\/561)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9490854ns?\nAnswer: 0.0000009490854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {p: 3, d: 1, c: 1, t: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from xgagaaaoxsps?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 9:30 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + m + 14 = 0, m + 12 = -5*j - 2*m. Let r(t) = -3*t**3 - 4*t**2 - 2. What is the tens digit of r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 408*x = 411*x + 600, -3*t = 3*x - 588. What is the greatest common divisor of 308 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 3732 + 6744. Let t = x + -20927\/12. What is the common denominator of -21\/16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8852, -9009, -9268, -9629, -10092, -10657, -11324?\n\"Answer: -51*z**2 - 4*z - 8797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9494*w**4 + 13*w**3 - 82*w**2 - 336898010*w?\nAnswer: -113928*w**2 + 78*w - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 100270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {q: 2, k: 7, t: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*u - 1119*h**2 - 301*u with respect to u.\nAnswer: -2*h**2 - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/5*(9436\/392 + -23). Suppose 4\/7*p**2 + 5\/7*p - 4\/7*p**4 + 1\/7*p**5 - a*p**3 + 0 = 0. Calculate p.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1585 = 5*o, 5*o - 649 = 3*o + 5*m. Let n = -171 + o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -532?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) + -2*(sqrt(360) - sqrt(360)*1) + sqrt(360)))\/(sqrt(108)\/sqrt(300)))\/(-3*(sqrt(8) + sqrt(800)) - (-1*sqrt(512) + sqrt(8))).\nAnswer: 5*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31165, -124678, -280517, -498670, -779125, -1121870, -1526893?\nAnswer: -1994182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -0.4 (b) 23\/787 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**3\/6 + 2*x**2 + 6. Let m(l) = 2*l - 6. Give -m(n) - 2*p(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x - 4 - 13*x + 18 + 6*x + 22. Let s be r(2). Calculate the greatest common divisor of s and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppii when four letters picked without replacement from bbjbjfppiipfi?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66534*f**3*p + 5*f*p + 38915*p wrt f?\nAnswer: 199602*f**2*p + 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 67\/2 - (-5)\/10. Let s be v\/4*4\/1. Solve -3*f - r = -2, -5*r - 11 + s = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -43. Let r = n + 49. Suppose r = -5*b + 4*y - 37, -2*y = 2*b - 0 + 4. Let l(k) = k - 4. Calculate l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 76*q - 415. Let i be l(-79). Which is bigger: i or -182?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 1. Let d(q) = q**3 - 4*q**2 - 7*q + 10. Let t be d(5). Put f, 1, t, 2 in ascending order.\nAnswer: f, t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308792*j**4 + 185*j**3 + 328143466 wrt j.\nAnswer: 1235168*j**3 + 555*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104643 is divided by 10309.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let w(t) = -2135*t**2. What is w(z(s))?\nAnswer: -8540*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5\/4 + 109*w**4\/4 + 683*w**3\/4 + 959*w**2\/4 + 70*w - 25 = 0?\nAnswer: -10, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(1\/3) - 19872\/(-7107) and 99\/10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 30 = -3*r, 3*r = 7*x - 194 + 200 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9.1. Let o = -142 + 992\/7. Let s = -0.1 + 0.6. What is the third biggest value in s, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 5*l - 2. Determine h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 - (-321 + 321)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from wyyyyyyyyyyyy.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-2\/3))**(1\/37)\/(m**(-4)*m**(4\/5)))\/((m*m*m**11*m*m)\/(m**2\/m))**(-9) assuming m is positive.\nAnswer: m**(71726\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1154 + -0.514?\nAnswer: 4.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from fchhccyypqy?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrzzr. What is prob of sequence zrrz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 3. Let k = -6 + 6. Let m = 4 + k. Which is the biggest value? (a) u (b) -3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482393812, 482393815, 482393818, 482393821, 482393824, 482393827?\nAnswer: 482393830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958*0.15553.\nAnswer: 148.99774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4710 + 30607 = -1219*w - 12224 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 568?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122.9 - 123. Let x = -0.11 + -0.29. Which is the nearest to 0? (a) -4\/7 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (147\/6)\/(3\/6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y - 494. Let w(v) = -35*v + 1479. Calculate -8*n(b) - 3*w(b).\nAnswer: b - 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = q + 17, -12 = 6*q - 2*q + 2*c. List the prime factors of 1*-419*q - (-66 + 69).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*a + 347*a + 368*a - 5810*a**3.\nAnswer: -5810*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5)\/y*((y**11\/y)\/y)\/y*y**(4\/7)*y*y*y*y**(6\/7) assuming y is positive.\nAnswer: y**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 66411907.\nAnswer: 5\/66411907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15456328.\nAnswer: 1\/15456328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-39))\/(-2)*(-37)\/((-1073)\/87)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 5*z + 2. Suppose 3*p - 11 = -2*w, p = -p - 5*w. Suppose 5*u - p = -4*o - 31, 5*o = 2*u - 16. Determine c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (5 - (-1 - (-4 + 0)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50162516 (base 7) to base 14.\nAnswer: -7a04b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-9)\/(-6))*-2. Let d be (0\/(-4))\/(-4 + t + 3). Which is smaller: 1\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18656*v**4 - 31176*v?\nAnswer: 223872*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) 7 (d) 1120 (e) 0.07 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16545 and 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 580ea0 (base 16) in base 10?\nAnswer: 5770912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -4\/3 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*(((s\/(s*s**7))\/s)\/s)\/s)\/s*s**(3\/4)\/s)\/(s**(-2))**(-3\/7))**(-1\/2) assuming s is positive.\nAnswer: s**(283\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*u + 2*u - 5, -5*k = 4*u - 14. Suppose -q + 3*l - 3 = 0, k*q = -l - 2*l + 12. Calculate the smallest common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 4*j**2 + 3*j**2. Let t(x) be the first derivative of 2*x**2 - 3*x**2 - 11 + 5. Determine r(t(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 16*x**2 + 15*x - 7. Let n be f(6). Let g(b) = b + 16 + n + 7 - 33. Let j(k) = 12*k + 9. Calculate 36*g(h) - 4*j(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 - (-2871 + 6 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 42 = 5*z + 40*w, 5*w = 5*z - 70 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**5 - t**4 - 20637*t**3 + 216337*t**2 + 2*t wrt t.\nAnswer: 300*t**2 - 24*t - 123822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -73646*n**2. Let s(k) = k**2. Give d(s(g)).\nAnswer: -73646*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, -114, -323, -612, -981, -1430, -1959?\n\"Answer: -40*z**2 - 9*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27*7\/((-693)\/(-22))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1641591 divided by 63\nAnswer: -26057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 767.8886527.\nAnswer: -768.8886527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r + 2. Let j be u(4). Suppose 5*m = -20, -2*y + j = y - 5*m. Let d(w) = w**2 - w**2 + 3*w**y. Let i(g) = -2*g**2. What is i(d(p))?\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2374 and 6371816.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 236 + 174 + 1064*j as w + s*j and give s.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c + 46. Let f be z(-21). List the prime factors of f\/6*(-11 + 1\/(-1)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*q + 12, -3*f + 5*q + 5 = -3. Let d be 31\/(-2) + 15\/10 - -2. Let z be (f\/6)\/((-8)\/d). Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*w - 3284 + 3010 = 7595 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2)*(-40)\/60. Which is the closest to 0.08? (a) -4 (b) -0.06 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121476142\/2600595 - -12\/57791. Let n = 213\/5 - z. Find the common denominator of 67\/3 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose -3*u = -2*b - j, 4*u - 19 - 11 = -2*b. Let n = u + -1. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j + 4. Suppose 24*n = 25*n - 1. Let d be m(n). Suppose 5*o + 4*x = -x, -o = 2*x + 1. Put o, 5, d, 3 in increasing order.\nAnswer: d, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -4*x**5\/5 + 7*x**3\/6 + 149*x**2 + 8*x - 21. What is the derivative of p(k) wrt k?\nAnswer: -48*k**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*f = 511*f + 675680. Does 206 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-9 - -59) - 81\/5. Let s(n) = 3*n**3 - 2*n**2 + n - 2. Let a be s(2). Let l = i + a. Solve 0 = 4*f + c - 7, l = -f + 4*f - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**8\/56 - 138*f**5\/5 - 409*f**4\/6 + 2*f + 199. Find the third derivative of r(y) wrt y.\nAnswer: -120*y**3 - 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 8*a - 4. Let g(c) = 0*c**2 - 3*c**a + 177 - 176. Give g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 6*k**2 - 5*k + 1. Let f be v(5). Let y be (0\/f)\/(-3) + 8. Let c(g) = 3*g + 4. Is 16 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 7*d - 644. Let t = 49 + d. Solve -3*v - 2*m = m, -t*m + 8 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzfrtgb. Give prob of sequence zbrt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 54 + (-24 - (-28 - -30) - -22).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1348 = 1680. Suppose 0 = 3*c - 4*w - 2080, 3*c - x = -2*w + 596. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.38\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242\/483 in -2\/11, 0.4, 4, 0.5, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173474*y - 328818*y - 240365*y.\nAnswer: -742657*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*i**3 - 31 + 31)*(3 - 3 - 8) + 3*i**2 - 3*i**2 + 2*i**3 to x + z*i + m*i**3 + d*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 - 410 = 3*n - f, -3*f + 7 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -3*u + 4, -2*o = -3*u + 6. Solve 0 = -0*i - u*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 526\nAnswer: 5\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 5 (b) 1 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -100*r**5 + 175*r**4 + 55*r**3\/3 - 105*r**2 - 45*r - 183. Find m such that o(m) = 0.\nAnswer: -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 - 19 = -3*x, i = x - 6. Suppose -6*w - 3*l = -5*w + 20, x*w + 33 = l. Put 1, -1, w, -5 in decreasing order.\nAnswer: 1, -1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 + 2604*i**2 - 14*i + 9. Let m(q) = q**3 - 522*q**2 + 3*q - 2. Give -14*m(y) - 3*w(y).\nAnswer: y**3 - 504*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*r*z**2 + 2*r*z - 32*r - 1849*z**2 - 2 wrt r.\nAnswer: -10*z**2 + 2*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from tgttcccckctt?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/56 - 3\/8. Let r = 29 + -33. Which is the biggest value? (a) -0.4 (b) r (c) 2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let u(p) = p + 4. What is the units digit of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - (sqrt(275) - sqrt(275)*2))*5)\/(3*sqrt(80)))\/((-1*sqrt(225))\/(2*sqrt(405))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 12. Let l(t) = -t + 3*t + 1 - b. Let z be l(5). Solve 2*s - z = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 15*g - 300150. Round g to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c - 34*c = -2*r - 9, -4*c + 2*r + 24 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(27)*3*-1 - (-1 + sqrt(243) + sqrt(243) + -2 - (sqrt(243) + -1 + -3))**2.\nAnswer: -244 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13344 - -13317. Let d = -3 + 8. Sort d, h, -5.\nAnswer: h, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438589 is divided by 219293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29228270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -9\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = -3, l + 4*p = 25. Suppose j + 6 = 3*j. Solve l*n - 20 = -0*h + h, -n + 4 = -j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20928459 and 6003?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 19. Let g = h - 7. Suppose -p - g = p, -5*p + 19 = 2*n. Calculate the remainder when 32 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:07 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/4 - 15*p**4 - 213*p**3 + 752*p**2 + 12720*p + 28800 = 0. Calculate p.\nAnswer: -30, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90192 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 11548220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (0 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(567) + 4 + sqrt(567) + -1 + 1*sqrt(700) + -1 + 5 + sqrt(700)*-1)**2.\nAnswer: 324*sqrt(7) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 15. Let v(k) = 1. Let t(j) = -v(j) + z(j). Let q be t(3). Factor -11*u - u**2 - q*u + 2*u - 49.\nAnswer: -(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11\/a*a\/(a\/(a\/a**6)*a)*a**(-2)*a\/((a\/(a**(-7)\/a))\/a) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 1567*l**2 + 15546*l - 37368 = 0 for l.\nAnswer: -1557, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14817.7 - -14818. Sort -2, r, 10\/3, -0.2 in ascending order.\nAnswer: -2, -0.2, r, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -5, -8, -43, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-12)*2*6. Let g(y) = -5 + y + 0*y - c*y - y**3 + 9*y**2. What is the units digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-8)*(-2)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.047 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 + 21*m**3 + 27*m**2 - 81*m - 162 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 2. Let i(c) = -14*c**2 - 11. Let q(b) = -2*i(b) - 11*x(b). Let l(v) = -5*v. Let r(z) = -6*z. Let y(u) = -7*l(u) + 6*r(u). Give q(y(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 5, 1222.\nAnswer: -78, 5, 1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 6*s. Suppose 0*p + 2*p - 68 = s. Suppose f = 2*u + p, 4*u = 3*f - u - 97. What is the remainder when 69 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 10:23 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*a - 7, -2*r = -18*a + 16*a - 2. Put -4, -12, r, 1 in descending order.\nAnswer: 1, r, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*i - 11. Let b be (38\/133)\/(16\/14). What is the nearest to -1\/2 in b, i, 5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 126*t - 3031. What is d(24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/406 and -11\/406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10634750 and 3540.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - p - 3*p + 10 = 0, 2*v - 4*p - 10 = 0. Let w(b) = 2*b - 2*b - 307 + b + 308. Give w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -31*h. What is m(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5808 = 5*b, -b - 4*b = 5*q + 7265. Let s = -534 - q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841273753?\nAnswer: 31, 61, 444883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 11 + -14 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 216368820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 12:47 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*w - 1764 + 1792, 0 = 5*l - w + 131 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 340*w**2 + 4*w + 340.\nAnswer: -4*(w - 1)*(w + 1)*(w + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 63 + 25)*(6 - 6 - 39*v)*(-5 + 2 + 1).\nAnswer: -1014*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 9*f. Let t(m) = 2*m**2 + 8*m. Let h = -2 - -7. Let g(l) = h*t(l) + 4*p(l). Find the second derivative of g(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2272, 7471, 16132, 28255, 43840?\n\"Answer: 1731*i**2 + 6*i + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/10 - (-30)\/50. Suppose 5*s = 2*d + 154, 0*d + 4*d = s - 38. Calculate the highest common divisor of y and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120366756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 - (-3 + -30). Suppose 5*h + z = 107. Suppose -2*r - 78 = -3*x + 2*r, 4*r = -4*x + 132. Calculate the highest common divisor of x and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (7 + 0) - -18. Let o(s) = 8*s + 19. List the prime factors of o(c).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 220?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47225.531 - -168921\nAnswer: 216146.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 2 + 2)*(8 + 5 - 6)*(5*b - 2*b + b) as a*b + w + q*b**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z. Let f = 29 + -85\/3. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/2 - -6. Suppose 0 = 4*s + 980 - 32. Let t = s - -2135\/9. Which is the closest to -0.1? (a) 1 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19811+430058.5354\nAnswer: 430058.33729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1061947915 and -25236.\nAnswer: -25236.1061947915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 6565456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let d(k) = -224*k + 5. Let s(l) = -226*l + 4. Let g(b) = -3*d(b) + 4*s(b). What is g(z(o))?\nAnswer: 232*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127636?\nAnswer: 2, 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 + 4. Let n be u(2). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -3 + (3 - 0). Solve 3*b = b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j - 699 - 1123 = -425 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(16))\/(sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/3)\/(-2 - 0). Suppose -l - 17 + 18 = s. Sort -2, -5\/4, l in ascending order.\nAnswer: -2, -5\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -31, -235, -5 in increasing order.\nAnswer: -235, -183, -31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-28)*((n**(-2\/27)\/n)\/n)\/n**(-3\/4) assuming n is positive.\nAnswer: n**(-899\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3266, -13068, -29404, -52274, -81678?\n\"Answer: -3267*l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18792 + 1\/(-3) + (-64)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4 (b) 3 (c) 9 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540265.7 millilitres to litres.\nAnswer: 540.2657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - t = -614, 221 = -b + 5*t + 77. Let r = -101 - b. Suppose -2*a = -2*h + 3*h - 23, -3*h + r = -2*a. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-22)\/a**(-3\/4))**10)**(1\/14) assuming a is positive.\nAnswer: a**(-425\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -5*i + g, 16*i - 5*g = 11*i + 625. Calculate the remainder when 547 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x + 25. Let z(i) be the first derivative of -3*i**2 - 13*i - 15. Let v(h) = 3*k(h) + 5*z(h). What are the prime factors of v(25)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40049702 is divided by 159.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013356963 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 798887 and 2?\nAnswer: 1597774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.049 and -0.2.\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - 2*l**2 - 2*l + 2. Let v(z) be the third derivative of -z**6\/120 - z**5\/60 - z**4\/24 + z**3\/6 - 3*z**2 + 8. Calculate -2*s(c) + 4*v(c).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-18)\/(-63)*14\/(-8)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - sqrt(56)\/sqrt(32)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3780)\/(-4095) - (630\/(-78) - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47\/10, 0.132, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*i + 215*i + 476*i + 441*i.\nAnswer: 953*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -679 + 835. Let h(y) = -5*y**2 + 2*y + 7. Let o(a) = 9*a**2 - 3*a - 13. What is j*o(k) - 11*h(k)?\nAnswer: k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2032\/(-2667)*(-6)\/8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -6, 7 in decreasing order.\nAnswer: 7, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-7) + (-262104)\/34230.\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (105*a - 54*a - 112*a)*(-3 + 9 - 4)*(-4 + 0 + 0) as w + v*a and give v.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17473 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012011220210 + -2111?\nAnswer: 1012011211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 467631 and 202707?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184024, 184038, 184054, 184072, 184092?\nAnswer: 184114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5 - 126*d**4 - 1479*d**3 - 3852*d**2 + 12660*d - 7200 = 0.\nAnswer: -24, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8\/11, 436806, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-2*a + 4*a - 4*a)*(-3 - 1 + 1)*(3*a + 4*a - 2*a).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18774.\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4394, -8752, -13110, -17468?\nAnswer: -21826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(-305)\/(-122)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1443 * -52961.\nAnswer: 76422723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*j + z - 6, -5*z = -3*j. Suppose -6 + 66 = 4*t - 2*n, -4*n = 16. Let x = t - -1. Calculate the remainder when x is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 17157?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, 1, 1\/4, -12 in decreasing order.\nAnswer: 5, 1, 1\/3, 1\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*u - 4 + 4078*u - 3.\nAnswer: 4693*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10799, -21601, -32391, -43163, -53911, -64629, -75311, -85951?\n\"Answer: m**3 - 10809*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 3 (b) -2\/41 (c) 0.08 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*b - 7*b - 184, 5*s - b = 230. Let z be 2\/(-6)*12\/s. What is the nearest to 0.1 in 4, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(-848)\/(-1060). Let g = -14 - -15. What is the fourth smallest value in g, -8, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3199322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20279333*n**3 - 5083*n**2 - 3*n - 125.\nAnswer: 121675998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -422?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:26 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17094 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18699 is divided by 74?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.86 times -10.426?\nAnswer: -363.45036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193195379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -78. Suppose -j - y*d = -29, 5*j - 40 = 5*d + 5. What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -20169.\nAnswer: -6050.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*w**4 + 9*w**2 + 0*w**3 - w**3 + 11*w**4 - 30*w**4 - w to the form o*w**3 + y*w**4 + x*w + q + i*w**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 3*x. Let q(c) = -2*c**3 + 7*c. Let f(j) = -2*j**2 + 3*j. Let d be f(-4). Let p = d + 49. Calculate p*z(n) + 2*q(n).\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3402 (base 5) to base 12\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)\/(-3*1). Let o = -1 + 9. Let p be o\/(x - (-4 - -2)). Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and -0.1205?\nAnswer: 6.6275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 95 + 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-2)\/(-35))\/((-6)\/5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let o(h) = -4*h. Suppose -3*z - 13 - 2 = 0. Let v(y) = -6*y. Let q(x) = z*v(x) + 8*o(x). Determine l(q(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66281*r**5 + 2*r**3 - 280896*r**2 - 3*r wrt r.\nAnswer: 3976860*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20109?\nAnswer: 3, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 56 (b) -0.5 (c) -68 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -f + 204. Let u = f + 41. Solve -3*s = -3*b + 21, 2*b = 4*s - 2 + u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-157)\/(-294) - (-3)\/(-18). Let v = t + -291\/392. What is the smallest value in 1\/5, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j + 278*j - 84 - 1402 = 3064 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4 = 8*l. Solve -2*j = -l*c + 5*c + 8, 0 = -4*c + j + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930856877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.4648728 to two decimal places.\nAnswer: 83.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**7*i)\/i*((i\/(i*i**14*i*i))\/i)\/i*i*(i\/i**(-1\/29))\/i**(-1\/13))**(1\/3) assuming i is positive.\nAnswer: i**(-8252\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 2. Let z(w) = -124*w - 257. Let l(i) = 6*j(i) + z(i). Differentiate l(h) with respect to h.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8702 and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1996\/5 + -3947\/10. Factor 0 + 0*r - o*r**4 - 3*r**3 + 3\/2*r**2.\nAnswer: -3*r**2*(r + 1)*(3*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4, -173, 2\/27, -3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -39937648 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663193171 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:57 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let g(w) be the third derivative of 1\/12*w**4 + 2\/3*w**3 + 0 + 8*w**2 + 0*w. What is g(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 8680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4 - 4)\/(-7 + 4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-1 - 1)\/2*1. Let p be (-5)\/(40\/(-66))*(-40)\/(-15). Solve -6 = 2*o + l - 0*l, h*l = 2*o + p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*((p + 1 - 1)*(25*p - 25*p + 5*p**2) + (-2*p + p - p)*(0 + 0 - 2*p**2)).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 less than -326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 60 = 15*f. Solve 0 = 4*y + f*h + 14 + 6, -4*y + 5*h = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-14) - 8640\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 12) to base 15.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - (1 - 1))\/(282\/6392). Let t = -339 + z. Solve 4*s + 11 = 2*f - t, 0 = 3*s + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17378 = -w - 4*s, -20772 = -5*w - 10*s + 66088. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6319807?\nAnswer: 13, 486139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m + 12. Let j be (-2)\/m + ((-40)\/15 - -3). Suppose -5*b + 3*w = -206, j = -4*b + 2*b + 3*w + 86. Are b and 39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(14)\/sqrt(2) + 3))**2.\nAnswer: -72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 4 = 4*o + 8*p, -87*o + 86*o - 4*p + 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -358*b - 3929. Calculate the smallest common multiple of u(-11) and 25260.\nAnswer: 75780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 297\/(-42))\/(852\/7455)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884991917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let z be 200\/24 + (-2)\/6. Suppose 3*u = -l - l + 1, -z = -4*l. What is the units digit of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 2945952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22209 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:00 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4 + 33*g**3 + 111*g**2 + 135*g + 54 = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 18. Let o(n) = -5*n - 17. Let f be -2*(0 + (1 - -1)). Let u(z) = f*q(z) - 5*o(z). Calculate the remainder when 11 is divided by u(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 90065794?\nAnswer: 990723734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50629, -50630, -50631, -50632, -50633?\n\"Answer: -j - 50628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, -3, 41, 49, 4, 5.\nAnswer: -180, -3, 4, 5, 41, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t + 30 + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 79*b**2. Let o(w) = -6*w. Calculate d(o(m)).\nAnswer: 2844*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8 - 47. Suppose p + 0*p + 5 = 0, -2*o - 3*p - y = 0. Solve 3*v + o*v + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + l + 2*l)*(-2 + 5 - 2)*(l + 0*l + 4*l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 623472378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 87*g**7\/70 + 20*g**4\/3 + 114*g**2. What is the second derivative of y(k) wrt k?\nAnswer: 3132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b. Let j(l) = 636*l**2. Give j(y(g)).\nAnswer: 5724*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339998097?\nAnswer: 3, 113332699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 13?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:36 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 82919.9 micrometers?\nAnswer: 82.9199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let y(x) be the third derivative of x**5\/60 - 7*x**3\/6 - 33*x**2. Let w be y(-3). Let d(n) = -602*n + 602*n - 8*n**w. What is o(d(c))?\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/10))\/((-12)\/(-4))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 25*j + 2. What is the tens digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12.6. Let o = 23 + -47\/2. Which is the biggest value? (a) -3\/8 (b) n (c) 4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2*sqrt(275))**2 + sqrt(44)\/(2*sqrt(4)).\nAnswer: sqrt(11)\/2 + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -5 (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4982454, -3 in ascending order.\nAnswer: -5, -3, 4982454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1607, -7393, -17031, -30521?\nAnswer: -47863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-1) + 0\/(-3). Let f be q\/6 + 8\/(-12). Suppose 2*y - 34 + f = 0. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in 12, -2, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -70602?\nAnswer: -70556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 58 (b) -8333 (c) -1 (d) -0.31 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 338518 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44152954 at most 44152951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6 + 64158187.222?\nAnswer: 64158169.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 29 = 175. Suppose -95 = -5*z - 3*k - 2*k, 4*z - k - m = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o = 3. Solve o*w + 12 = 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -7.29 (c) -0.14 (d) 13\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/1*18\/(-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-14)*(-5)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 472, 4284, 14626, 34762, 67956, 117472, 186574, 278526?\n\"Answer: 544*a**3 + a**2 + a - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-8) - -6*(-4)\/(-32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*((-144)\/30)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + k - 1. Let m be h(1). Suppose 2*f - 4*l = m, 3*f - 7 = -l - 1. Find the second derivative of -f*y**2 + 2*y - 4*y + 4*y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 32. Suppose -3*j + d*w + 21 = 5*w, 0 = 5*w - 15. Suppose -2*q - j*l = -l - 3, -q + 2*l = -15. Solve 0 = -4*h + 3*o - q, -h + 2*o - 9 + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.2, -0.3, 3, 50?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*s**2 - 81*s**2 + 28*s**2 - 22*s**2 + 302 - 97*s**2 wrt s?\nAnswer: -298*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -619610 smaller than -619891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10\/7)\/r)\/(r\/r**(4\/13)) assuming r is positive.\nAnswer: r**(-193\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112985378 to the power of 1\/2, to the nearest integer?\nAnswer: 33361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38082 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*920\/(-138)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2315 + 651 = -16*n. Suppose -2*d = 4*g - 34, 2*d - 2*g = d + 17. Let q = n + d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -29*p**3 - 5*p**2 - 4*p. Let c(s) = 37*s**2 + 14*s**3 + 2*s - 46*s**2 + 12*s**2. What is 5*c(w) + 3*d(w)?\nAnswer: -17*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 + 2*b + 2. Let f be j(0). Is 26\/11 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*u + 1423 + 1961 = 0, 4*u - 861 = n. List the prime factors of n\/(-8) - ((-50)\/(-16) - 3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19*f + 34*f - 10*f. Let v(r) = 16*r. Let y(w) = 20*k(w) - 6*v(w). Let n(h) = h. Give n(y(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rrrkkrrrkkr.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 96, 0.2, 5, -94\/7, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 5*z**2 - 5*z + 5. Let u = 20 + -20. Suppose 2*i + u = 4. Let s(f) = -9*f**2 + 2 - 7*f**2 - 2*f - f**3 + 14*f**i. Give -4*o(l) + 10*s(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 170, 371, 652, 1013, 1454, 1975?\nAnswer: 2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from xxxbbsbcbbbxsxqxqx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 55, 103, 1, 0 in increasing order.\nAnswer: -13, 0, 1, 55, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvhvrvvvkohvchv. Give prob of sequence vk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**3 + 2*y**2 + 11*y**3 - 3*y - 1 - 3*y**3 + 2*y**4 to the form d*y**4 + o*y**2 + p*y**3 + n*y + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2085, -16593, -55965, -132633, -259029, -447585?\n\"Answer: -2072*n**3 - 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 615*x**2 + 3771*x - 5697.\nAnswer: -3*(x - 3)**2*(x + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 6:13 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 70869647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 179, 253, 333, 419, 511, 609?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h + 76*h - 21*h to x + m*h and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115551 and -17.\nAnswer: -1964367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1*(sqrt(153) + -1))**2 + (sqrt(153) - 2*sqrt(153)*-6) + -1) + 5)*3.\nAnswer: 396*sqrt(17) + 1851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(147) - (sqrt(147) + -1*sqrt(147) + sqrt(147))))*-6 - (-2 + sqrt(48) + 5 + 4))**2.\nAnswer: 200*sqrt(3) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 81.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1029068333 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.259 rounded to one decimal place?\nAnswer: -38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let q(d) = -d**2 - 4*d + 7. Let o be q(-5). Let h(k) = 1 - 102*k**2 + 203*k**2 - 100*k**2. Calculate o*h(v) - j(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6032 + 6034. Let l(v) = -4*v**3 + 2*v**2 - 5*v + 13. Let h(z) = 2*z**3 - z**2 + 2*z - 6. Calculate f*l(d) + 5*h(d).\nAnswer: 2*d**3 - d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/6 - n**2 + 3*n. Let u be r(5). Let k = -0.04 - -0.24. What is the closest to k in -1\/4, 1, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+1477.5\nAnswer: 1477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1254.4 + 1254. Put x, -7\/2, -1, -3\/2 in increasing order.\nAnswer: -7\/2, -3\/2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63427 = 948*v + 599*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.001 and -78615?\nAnswer: 78.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332938*m**4 - 4019*m**2 + 2*m.\nAnswer: -7990512*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*n = -25, q + n = -5 + 4. Suppose 2*f + 92 = 4*d, 79 = q*d + 4*f - 1. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-216)\/21 + (11 - 1). Let u = -2.1 - -16.1. Let o = u + -8. Is o less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25669972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*w - 0. Suppose -65 = -w*t - 15. Solve 11 = -3*r - 2*c, -t*r + r = -3*c + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4050\/12*4518\/(-60993)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 7 (b) -4 (c) 0.0309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 237227298, 237227295, 237227292, 237227289, 237227286, 237227283?\n\"Answer: -3*n + 237227301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(95)\/sqrt(5)*2 + 2 - (sqrt(152)\/(1*sqrt(8)) + sqrt(19) - -6*(sqrt(19) + 3)).\nAnswer: -18*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 811939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 847, 6505, 21797, 51541, 100555, 173657, 275665?\nAnswer: 411397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h + 32 = -19. Which is smaller: -14 or h?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13085.15 to the nearest one hundred.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-3)\/((-6)\/(-2)). Let a = 5 + v. Let b(z) be the first derivative of -2*z**3 - z**2\/2 - 14816. Determine b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22117364?\nAnswer: 2, 5529341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*-10*(-10)\/(-60)*6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6*t**2 + 3*l**6*t - 9*l**2*t**2 + 8*t**2 wrt l?\nAnswer: 120*l**3*t**2 + 360*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 17 = -c. Let j = c - 33. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4806483237.\nAnswer: 3, 71, 2467, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x**3 - x)*(-10*x - 2*x + 20*x) as w*x**4 + q*x**3 + h*x**2 + a*x + c and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose -5*h = -x*j - 3, -j + h = -4*h + 9. Let r be j\/15 + (-26)\/(-10). Solve 10 - 3 = -3*a - 2*i, -r*a - 4*i = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbi when four letters picked without replacement from biibiibxibi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 10*b - 2*g - 73, -2*g - 38 = 11010*b - 11014*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39812153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r - 17. Let i be c(10). Calculate the remainder when (2 + -4)\/(-2) - (i + -3) is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 19*b - 12. Let m be z(18). Suppose 0 = 4*p - 7*p + m. Solve 5*o - 2*d + 18 = 0, 0 = 3*d - p*d + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.066.\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (-54 - -121) + -16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w - 221. Give b(-28).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -i - 5*n, 0 = -i - 0*n + 5*n - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-2*sqrt(5)) + 4 - ((sqrt(50)*2)**2 + 3).\nAnswer: -199 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = -4*y + 44, 2*h - 2*y - 10 = 0. Suppose 2*c - 6*c = -h. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(4\/15)*h)*h)\/h)**(1\/33)*h**(-18)\/(h*h**5\/h) assuming h is positive.\nAnswer: h**(-11389\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90051\/67 + -1344. Let t = v + -216\/335. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 divided by -117?\nAnswer: -1016\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 38, 20, -14, -70, -154?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8) + (-28)\/(-48))\/(1025\/(-83025))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 37150. Let q(t) = -2*t. Give m(q(o)).\nAnswer: 4*o + 37150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 363, 916, 1613, 2454, 3439, 4568?\n\"Answer: 72*j**2 + 337*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:45 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -628783.\nAnswer: 8\/628783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5 + 2*c**4 - 3*c**3 - 8*c**2 - 4*c = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 74*t**2 - 3*t + 7*t**2 - 51*t**2 to the form l + g*t**2 + k*t and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11987 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12184, 99996, 338346, 802504, 1567740, 2709324, 4302526, 6422616?\nAnswer: 9144864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663549103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -1, -145, 0, 3, 6 in ascending order.\nAnswer: -145, -74, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*z + 478 - 13174, -15870 = -5*d + z. Suppose 9*u + 1542 = -d. Let c = 1107 + u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:53 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*r + 23*r - 1 + 2 - 18*r in the form w*r + b and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9086.5 and 6?\nAnswer: -54519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56, -62, -76, -98?\n\"Answer: -4*k**2 + 6*k - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z**3 - 19*z**3 + 8*z**3 + (-3*z**2 - z + z)*(3 - 3 + 2*z) + 3*z**3 + z**3 - 5*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65545?\nAnswer: 5, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -740, 5, -3 in decreasing order.\nAnswer: 5, -3, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106539, 429197, 966959, 1719825?\n\"Answer: 107552*z**2 + 2*z - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 4*m + 8. Let i(r) = -r**2 + 2*r - 4. Let q(l) = -3*b(l) - 7*i(l). Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 5 = -2*u, -16 = -4*u. Solve 0 = -b - 0 + 3, 4 = -5*q + f*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6234, 10, 575 in ascending order.\nAnswer: 10, 575, 6234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*j - 2*j**3 - 22\/5*j**2 - 2\/5.\nAnswer: -2*(j + 1)**2*(5*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 70. Let p = 185 + -919\/5. Let j = -88\/65 + p. Which is the biggest value? (a) s (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezeeeeeezeee. What is prob of sequence zeee?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 29*g**2 + 275*g + 63. Determine x(-11).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -94 (b) 2 (c) -5 (d) 3 (e) 17 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 87*q\/2 - 45.\nAnswer: 3*(q - 1)*(q + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -41*y**3 + y**2 + y. Calculate h(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27 + -28)\/((-1)\/(-2)). Let p be (1\/q)\/(24\/(-144)). Let 1009*k**p + 2 - 1005*k**3 - 2 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 2. Let a = -6 - n. Calculate the least common multiple of 2 + (6\/27 - 172\/(-36)) and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -26*m**3 + 76652*m**2 + 64882*m - 11796 = 0.\nAnswer: -1, 2\/13, 2949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 - 4*h - 6. Let v = 3 - 9. Let u be a(v). Suppose f - u = -2*f. Calculate the remainder when 16 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -231.4921 and 0.5915.\nAnswer: -230.9006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -107*o**2 + 1\/16*o**4 + 0*o - 1\/60*o**5 + 0 - 1\/240*o**6 + 0*o**3. Factor j(b).\nAnswer: -b*(b - 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166\/1006273 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(1377) + 1)**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001061 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896080 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76178357347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*h**2 - 48*h**2 + 6 - 6*h**2 + 4*h**3 - 4*h)*(-2*h - h + 0*h) to the form w*h + r*h**2 + b + s*h**3 + q*h**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Is g bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3723490 and 10?\nAnswer: 3723490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38052, 304527, 1027830, 2436375, 4758576?\nAnswer: 8222847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 3*p**2 + p + 2. Let q be a(2). Suppose q*n = 3*n + 415. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z + 1022 - 1022. Let j(l) be the second derivative of -7*l**3\/6 - 3*l**2 - 23*l. Let k(w) = -w - 1. Let f(q) = j(q) - 6*k(q). What is f(v(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -151 (c) 0 (d) 7.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 143597, 574459, 1292541, 2297825, 3590293, 5169927?\n\"Answer: -3*x**3 + 143628*x**2 - x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 443 + 225 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/20 - 3*q**4\/4 - q**3 + 11*q**2\/2 - 15*q. Let c be w(-8). Let k be -5*7\/c*(-36)\/21. Is k <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35957, -36129, -36591, -37487, -38961, -41157, -44219, -48291?\nAnswer: -53517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n**2 - 13*n + 6. Let p(a) = 9*a**2 + 9*a - 4. Let c(r) = r**2 + 15*r + 9. Let m be c(-14). Suppose 6*b = 2*b - 28. What is b*p(v) + m*o(v)?\nAnswer: 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*y**4 - 69*y - 47*y**2 - y**2 + 51*y**2 wrt y.\nAnswer: 252*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -375, -376, -377, -378, -379, -380?\n\"Answer: -c - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-2)*(91\/13 + -4733). Let n = -17798 + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67778479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**2 + 6*w**2 + 3*w**3 - w**2 + 24*w**3 wrt w?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65224*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.07 (c) 3 (d) 8 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b33 + -295?\nAnswer: 88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/21 - 4*q**3\/21 - 2*q**2\/7 + q. Factor o(l).\nAnswer: -4*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -25938*q**2 - 337196*q - 32. Determine u(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8289 * -8259\nAnswer: 6845.8851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 26*l - 14. Let v(x) = 49*x - 27. Give 5*s(d) - 3*v(d).\nAnswer: -17*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143)*-1 + sqrt(143))*-1 - ((-1*sqrt(143) + sqrt(143))*-2 - sqrt(143)))\/(-3*sqrt(396)*6).\nAnswer: -sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*w - 1. Suppose -h + 0*h = -w. Solve 0 = -z - 3*f + 1, 2*f + 1 = h*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/2 + (-4)\/8. Solve -o*s + 3*y + 2 = -7, 3*s + 2*y + 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20565227594986\/73807453 + -86654966\/311. Let y = n - -1\/3251. Calculate the common denominator of y and 47\/2.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-738)\/(-2460))\/((2\/(-4))\/((-25)\/30))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/((c**(2\/7)*c)\/c))\/(c*((c\/(c\/(c*c\/((c\/c**(1\/2))\/c))))\/c*c)\/c*c*c*c*c\/(c\/(c*c*c**(-4)))) assuming c is positive.\nAnswer: c**(-293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-18\/11)\/(z\/z**(5\/6)*z))\/((z*z\/(z**(2\/53)\/z))\/(z**(5\/11)\/z)))**(-16) assuming z is positive.\nAnswer: z**(176600\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 15}. Give prob of picking 2 u and 2 e.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(((-4)\/(-5))\/(2\/(-5))). Let i(x) = y + 2*x - 7*x + x**2 + 1 + 3. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*38\/(-228))\/((-6)\/1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 361\/106 in 0.04, -6, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -4. Let f = -3 - b. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9 = -5*d + 14, 3*d - 3 = 3*r. Let m(l) be the third derivative of 0 - 1\/12*l**4 + 1\/2*l**3 + 6*l**2 + 0*l. Give m(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379886 - -379888. Let c(u) = u + 2. Suppose a - 2*x + 3 = -4*x, 0 = -3*a - 3*x. Let l(i) = -3 - 2*i - a*i + 3*i. What is t*l(m) + 3*c(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r)\/r)\/(r**(-1\/2)\/r)*(r**(2\/7))**(-8\/3) assuming r is positive.\nAnswer: r**(-137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 63 = 111. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 1577?\nAnswer: -1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6955\/2140*((-15)\/(-13) + -1). Factor 0 + 1\/2*c - 1\/2*c**3 - 1\/2*c**4 + l*c**2.\nAnswer: -c*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/29426, 11713 in decreasing order.\nAnswer: 11713, 4, -1\/29426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c31f (base 16) to base 3.\nAnswer: -11112101212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:11 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -3, 1, -2.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from {u: 1, z: 2, t: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 36. Suppose 3*z = -k + 39. Solve -c + 5*f + 5 = 2, 0 = -5*c + z*f + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:25 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2 - 3*x + 4*x)*(-9*x + 17*x - 15*x).\nAnswer: 7*x**2 + 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 82*m - 467. Let p be k(75). Solve -2 = -15*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:05 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/9 + 2\/(-3). Let r(y) = y - 2. Let q be r(b). Let j = 1012 - 1010. Sort q, 3, j, -4 in descending order.\nAnswer: 3, j, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.025 plus 1.43?\nAnswer: 2.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 0.3, -1, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3173 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0) + 0\/1. Suppose 1 + k = 2*i. Let g = 6 - i. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*p - 172, -3*p + 232 = -4*z - 5*p. Let j be 4\/(-14) - z\/14. Let q = -20 + 22. Sort q, 0, j.\nAnswer: 0, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = 26. Suppose -4*i + 3*h = 12 - 15, 0 = c*h - 9. Suppose 0 = -7*z + 6 + 15. Solve 2*r = z*g - 6, -i*g + 0*g = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.6 and 47?\nAnswer: 45.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205.32789 + 205.45. Round v to three dps.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 3*c - 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*n - 2901*n**2 - 2603*n**2 + 1333*n**2.\nAnswer: -4171*n**2 + 82*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0 (c) 3 (d) -13 (e) 1344726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-182)\/96)\/7 - (-28)\/(-448). What is the third biggest value in u, 0.05, -0.16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -33, -64, -117, -198, -313, -468?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*n**2 - 24*n + 24*n + (0 - 1 + 0)*(0*n**2 + 2*n**2 - 3*n**2) + 1 - 2*n**2 - 1 + 2*n**2 - 3*n**2 - n**2 as s*n**2 + k*n + a and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 28. Suppose -5*c - s = 20. Is 29 a factor of 1746\/15 + c\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*j - 0*j + p, 2*j + p = 96. Suppose 0 = 46*w - 39*w - j. Solve w*i = 5*s + 4*i - 3, -s + 4*i = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 185?\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -48 (c) -62064\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15452 is divided by 5148.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 + 33*j**2 - j + 33. Calculate the lowest common multiple of 22 and d(-9).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 1\/15*w**3 - 1\/150*w**5 + 7*w**2 + 1\/60*w**4 - 4*w - 1\/300*w**6 + 0. Let g(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*n + n - 52, 3*p = -n + 77. Suppose -r + p = 11. Suppose 3*g + 84 = 3*m, -21 = -2*m - 5*g + 21. What is the remainder when m is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60092 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*-10*(-12)\/180?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 14*w - 6 + 3*w**2 - 4*w - 4*w**2. Let g(j) = -3*j - 27. Let l be g(-5). Let a be 9\/(-3)*40\/l. Give v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9007*s - 6665170. Determine f(-740).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y = 635 - 923 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) 0 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(0 - 2*y**2 + 0) - 17642*y + 17642*y + 1260 + 8*y**2 + 9.\nAnswer: 12*y**2 + 1269","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*u - 12. Let c = -1 + u. Suppose c = 2*j + 2, x - j - 121 = -2*x. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)\/(n\/n**(-2\/7)*n)*(n**1)**50 assuming n is positive.\nAnswer: n**(1329\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -3*x + 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) - (-60)\/14. Let r(h) = -h**2 + 6*h. Let z be r(y). Let u be (-2 + z)*(-1)\/(-2). Which is the biggest value? (a) u (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*i**3 + 84*i**2 + 4*i.\nAnswer: -i*(i - 2)*(43*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 107107104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (((4 - -17) + -3 - -8) + -8 - 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let d(n) = -52*n - 14. What is -d(k) - 6*h(k)?\nAnswer: 46*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 6. Suppose -3*b = 2*b. Let g be d(b). Let q be (-2)\/g + 328\/12. Solve 11 = o - 6*x + x, 3*o + 5*x = -q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h - 3. Let d be q(6). Let n = -44 - d. Let u = n + -32\/5. What is the biggest value in -0.5, 0.008, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a factor of 36210339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/78 and -185\/1241058?\nAnswer: 1241058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -23 - 10\/3*j**3 + 0*j + 1\/2*j**2. Find the second derivative of u(t) wrt t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804 = 2*j + 86. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 121*o**2 - 2*o + 2. Let c(k) = -80465*k**2 + 1331*k - 1331. Give 2*c(w) + 1331*n(w).\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5*c + 5 = -j, 2*c - 25 = 5*j. Suppose -15*z + 3 + 12 = c. Is 6\/85 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(1\/3))\/m)\/(m\/(m**(-2\/7)*m)*m))\/(m\/m**1)**(-20)*((m*m\/(m*m*m**(4\/5)))\/(m*m*m*m**7))\/(((m\/(m\/m**8))\/m*m)\/m**(-4)) assuming m is positive.\nAnswer: m**(-2389\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 4. Let c(x) be the second derivative of 3\/2*x**2 + 0 + 2\/3*x**3 - 129*x. Calculate 4*c(d) + 3*i(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/24 + 3*j**3\/2 - 4*j**2. Let n be u(6). Solve -2*y = -5*x - 1, -11 = 4*x - n*y - 2*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637731 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 87?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 7*d + 7*d**2 - d**3 - d**2 + 2. What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1023105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 6*n**2 - n**2)*(-5*n + n + 3*n - 3*n - n + 3*n + (-1 + 5 - 2)*(1 - 1 - n)).\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 3. Let o be c(6). Let i be (-1)\/(-12)*48\/8 + (-716)\/8. Sort o, -4, i in decreasing order.\nAnswer: o, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djjd when four letters picked without replacement from jdhjjdhjhdhjj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**4 - 6*d**3 - 4*d**2 + 2. Let f(x) = -x**2 - x - 1. Let t = 14 - 8. Let s be (-8)\/t*6\/(-4). Let n(i) = s*f(i) + m(i). Solve n(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/(235\/188) + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:39 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 2*u)*(-2*u**3 + 2*u**3 - 2*u**3) + 4*u**4 - u - 6*u**4 + 0*u.\nAnswer: -4*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 80264 + 80282 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:52 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 1 - 1)*(-89*c - 5309 + 5309).\nAnswer: -89*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -3 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -214 - -206 - (1 - -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259543486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18125 - -398861\/22. Calculate the common denominator of -47\/2 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674030437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxv when three letters picked without replacement from {v: 7, j: 6, x: 4}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 109677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 55 = 15*l. Let h be 1 + (-3 + 1)*-1. What is the remainder when 70 is divided by 17 + (h\/4 - l\/20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3 - 5, -5*t - 3*m = 2. Solve -6 = t*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -51, -3, -1.\nAnswer: -51, -3, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, v: 2, e: 2, y: 1}. Give prob of sequence yqy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4*(-2)\/20). Suppose -5*m + 3*p + 6 = 0, 2*p + 5 = y*m - 4. Let u(k) = -k**3 + 5*k**2 - 4*k + 1. Determine u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. Let m(g) = 2*g + 1. Let t be m(l). Is -1 + 40 + t - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27720 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:01 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 123, 182, 239, 294, 347, 398?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -2, -3, 80 in decreasing order.\nAnswer: 80, 4, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8007+14.333\nAnswer: 8021.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237477?\nAnswer: 3, 79159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*n**2 + 0*n - 454*n**2 + 231*n**2 + 0*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -60. Suppose 9*c - 35*c + 4290 = v. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and (-885)\/1475 + ((-1966)\/6)\/(5\/(-3)).\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*v + 13*v - 13*v + (4 - 2*v - 4)*(1 + 1 + 1) + (0 + 1 + 0)*(2*v + 0*v - v).\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -1257*x - 904*x - 12672 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 130*z**2 + 1729*z - 109. Calculate y(115).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586404634 is divided by 146601155.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20932436*b**2 + 8215399 wrt b?\nAnswer: -41864872*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896738419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64750000 rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -9, 9, 3, 2, -34 in increasing order.\nAnswer: -34, -9, -4, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) -5 (c) -24.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -27*h - 28. Let b(r) = -13*r - 13. Let z(j) = -7*b(j) + 3*t(j). Let c(m) = 5*m + 3. Give 7*c(l) - 3*z(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 84*w**2 + w. Let z be n(-2). Let h be z\/22 - 10\/55. Solve 0 = 5*j + 3*y + 25, 3*j + y + h = -4*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144408109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10704)\/60210)\/(84\/5)?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 107*o - 50*o + 21*o to h*o + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 205*n - 1017. Give w(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 962546781 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 11591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3426.69257301 + 37.6.\nAnswer: 3464.29257301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -315, -273, -199, -93?\n\"Answer: 16*g**2 - 6*g - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(2 - 18\/4). Calculate the greatest common divisor of z and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.65+3043\nAnswer: 3046.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 11. What is d(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 13*d + 1. Let a be v(14). Let w = 18 - a. Which is smaller: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612 + 604 = u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*g - 4*g - 226 = 0, j - g = 46. What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341 divided by 45\nAnswer: -341\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2680 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147921?\nAnswer: 3, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399*g**2*i**4 + 25*g**2*i**2*y**2 - g**2*i - i**4*y**2 + 16*i**2*y wrt i.\nAnswer: -9576*g**2*i - 24*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*a - 666, -279 = -2*b + 5*a - 0*a. Suppose 2*c - b = -c. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/2 - (2 + 14). Let q = -19 - h. Suppose 4*t + 2*n = -q*n + 128, 5*t - n = 146. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t - 113*t = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 91*r**2 + 3 + 90*r**2 + 1.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**3 + 46344*t**2 - 2590560*t + 36245888 = 0.\nAnswer: 28, 23116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let o be -1 - 3\/((-1530)\/506). Let x = 114\/85 + o. What is the closest to n in -0.2, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 91 = 16558*g - 16553*g, -224 = a + 18*g + 120 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2648 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/25 and -8\/135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let b(z) = z + 4 + 23*z - 3*z - 81. Let k(w) = -w + 4. Let o(t) = -4*b(t) - 77*k(t). Calculate o(f(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -3, -2\/9, 46 in decreasing order.\nAnswer: 46, 3, 0, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3 - 2045*n**2 + 293280*n - 861300 = 0.\nAnswer: -522, 3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/804 - 28517\/4020. Let w be 3\/12 + (-655)\/(-84). Let d = -334\/21 + w. Find the common denominator of d and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 37*h - 5730. Calculate a(154).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4181693.\nAnswer: 4181693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453760 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i + 4. Let n be w(4). Suppose 5*o + n = 61. Let b(x) = -10*x. What is the smallest common multiple of o and b(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40595 divided by -23?\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -58. Let v(m) = -6 + 13*m - h*m + 4. Let q be v(7). Solve 0*k + 2*k - 19 = -q*f, -f + 5*k = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5859787 + -3.\nAnswer: -5859790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(44))\/sqrt(4) - (-6*sqrt(55)\/sqrt(5))**2.\nAnswer: -396 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 57 + -127 + 34\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -38*s**2 + 29*s + 7. Let g(v) = 16*v**2 - 14*v - 3. Give 3*b(w) + 7*g(w).\nAnswer: -2*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(3 + 1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, q: 5}. What is prob of picking 1 q and 3 k?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -540, -499, -422, -303, -136, 85, 366?\n\"Answer: h**3 + 12*h**2 - 2*h - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from hohoffhhhhhkhohqh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 54207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -46*s + 1738. Determine h(38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/40 - k**5\/30 + k**4\/8 - k**3\/3 - 93*k**2. Let y(p) = -p**3 - p**2 + p - 1. Give o(s) - 2*y(s).\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 18. Suppose j - b*j - 15 = 0, -3*j = -d + 9. What is the common denominator of 17\/4 and (-7)\/d*404\/84?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294107 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {z: 2, m: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/20, -0.63, 2, 3\/2, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**2\/2 + d + 5. Let v(m) = 4*m - 4. Let j(n) = -7*s(n) - 2*v(n). Let x be j(1). What is the closest to x in -3, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56, 216, 476, 830, 1272, 1796, 2396?\n\"Answer: -p**3 + 56*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13001*u - 53501*u - 141046*u.\nAnswer: -207548*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((76545\/(-54))\/35)\/(((-171)\/(-24))\/19)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.033925 kilometers?\nAnswer: 3033925000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 20*p - 8. Let o(l) = l**2 + 7*l + 3. Suppose -4 = -j - 5*x + 4, -2*j = -3*x - 3. Give j*z(i) + 8*o(i).\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfzjzzj. What is prob of picking 1 j, 1 z, and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/17)\/n*n*n*n*n**(4\/15))**(2\/15) assuming n is positive.\nAnswer: n**(1246\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*r + 47 = -644, o - 3*r = 177. Let h = o - 34. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*w**5 - 568*w**4 + 1056*w**3 + 1984*w**2 - 4672*w + 1152 = 0. Calculate w.\nAnswer: -2, 2\/7, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:12 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -548 - -554. Solve m = 2*p + b, -6*p - 21 = -4*m - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orxx when four letters picked without replacement from {k: 1, r: 1, x: 5, o: 6, g: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/9 - 13041892*i**2\/9 - 26083778*i\/9 - 4347296\/3 = 0?\nAnswer: -6520944, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22)*c)\/c*c*c**18*c assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.28993 and 120.\nAnswer: 118.71007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/263, 729, -4, -3, -1 in ascending order.\nAnswer: -4, -3, -1, 58\/263, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6052*h**2 - 9051*h + 3018*h**2 + 3036*h**2 to d*h + j*h**2 + m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*x = -5*n + 7, 5*x = 5*n + 5. Let g(r) = -5*r + 3. Let v(p) = 6*p - 4. Let o(h) = n*g(h) - 3*v(h). Let u(l) = -l**2 + 3*l. Calculate o(u(t)).\nAnswer: -2*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/2, -28\/5, 2, 1\/13, -3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 545*f - 208 wrt f?\nAnswer: 545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10222220120202 (base 3) to base 14\nAnswer: 3d40a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -461968, -923940, -1385916, -1847896, -2309880, -2771868?\n\"Answer: -2*a**2 - 461966*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 110*y + 16. What is the remainder when z(2) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 6*y)*(18*y**3 + 4 - 4)*(-2*y + 3 - 3).\nAnswer: -252*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1917 + 1917. What is the biggest value in 0.24, 0.01, w?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685325 is divided by 737062?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1871*x**6\/30 + x**5\/10 + 212*x**3\/3 - x**2\/2 + 5271*x. Find the second derivative of i(y) wrt y.\nAnswer: -22452*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -8*p + 89. Solve -2*w - 4*f = -22, -p*w + f + 28 = 6*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*x + 336*x + 3 - x**2 + x**3 + x**4 in the form f*x + j*x**4 + w*x**3 + z + k*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11238645 is divided by 2809656.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1362.4676.\nAnswer: -1361.9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*h - 46, -27*v + 23*v + 4*h = -48 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 12*o + 28. Let c be i(-14). Suppose -40*q + 25*q + 120 = c. Which is bigger: 13 or q?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 - 23*w - 168. Let a be j(-9). Calculate the greatest common factor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let u(d) = d**2 + 6*d + 3. Let s be u(-5). Let w be f(s). What is the third derivative of q**2 - w*q**2 - q**3 + 2*q**3 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*f - 26. Let k = -18 + f. Which is the nearest to 0? (a) k (b) 3\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 2. Suppose -10*d + 12*d + 12 = 0. Let j be o(d). Let q = j + 14. Calculate the remainder when 18 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(1584)\/sqrt(4)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60586140 divided by 645.\nAnswer: -93932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 615 - 3*t + 95 + 6*t - t.\nAnswer: -t + 710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1780 + -1779. Is 85 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2166259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) 5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*f + 125 = 0, 3*f = 2*o + 2898 - 2970 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35712 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 8 = -5*a. Suppose -2*j + a*j = 42. Solve -j - 5 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 8*b**2 - 12*b + 2. Let y be t(-6). Suppose y*d = d - 1, -d + 787 = g. Suppose -280 = -c + 4*i, c + g = 4*c + i. Does 44 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 3*u = -33, 0 = 2*f - 4*u + 2341 - 2369 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-465)\/(-10). Let b = 24 + t. Let k = -4 - b. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 42 = -24. Let p be (10\/(-15))\/2*l. Solve 5*h - 4*n + 25 = 0, p*h + 3*n - 8 = n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -146*y**3 + y**2 + 2*y + 1. Let w be g(-1). Let z = -82 + w. What is the remainder when z is divided by 1 - (-37)\/3 - 111\/333?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -155*v - 4748. Calculate x(-30).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1033222 + 5?\nAnswer: 1033230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 2, 0, -6, -16, -30?\n\"Answer: -2*v**2 + 8*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose c + 2 = 2*d. Factor 4 + 3*p**2 - 3*p**d - 3 - 4 + 3*p.\nAnswer: -3*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h**3*(h*h**(-3))\/h**(3\/4) assuming h is positive.\nAnswer: h**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260 - -254. Let f be (-16)\/(-3)*(-30)\/(-4). Let s be d\/(-3*4\/f). Solve -5*j - s = -3*z, 0 = -4*j - z - 2*z - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -6\/11 (c) 1.3 (d) -0.5 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (1416\/639)\/((-40)\/36). Let h = u - -704\/1065. Let d(s) = -3*s - 3. Let r be d(-2). Which is the nearest to -11? (a) h (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 15. Let a be x(-5). Suppose -a*l - 58 = -w - 2*l, 5*w - 4*l - 279 = 0. What is the highest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.349127 micrometers to kilometers.\nAnswer: 0.000000009349127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1985854*b**2 + 27*b**3 - 1985854*b**2.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 8. Suppose d - 7 = -4*b, d + c*b + b - 8 = 0. Sort 1\/3, -7, d in descending order.\nAnswer: d, 1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614540 = 65*y - 722445. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 190. Is -74 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106157361 divided by 1.\nAnswer: -106157361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*s**2 - 1868*s**2 + 1060*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1953)\/(-465))\/((39\/(-325))\/((-2)\/15))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(8\/7)\/c)\/c)\/(c\/c**8))\/((c**(-4)\/c)\/c*c**(-1)) assuming c is positive.\nAnswer: c**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -49. Suppose 26 = 5*f - 3*f - 2*r, -40 = -3*f + 2*r. Calculate the remainder when x is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) - (-3 + sqrt(637) + 1)) + sqrt(637) + sqrt(637))**2 - (1 + sqrt(13)*-4 + -2).\nAnswer: 88*sqrt(13) + 5738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.839 - 4.839. What is the closest to 2\/7 in 4, 6\/5, v?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2970346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-27))\/(45\/(-810)). Sort -22, 2, x, 3.\nAnswer: -22, 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267222 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 38 = -5*v + 112, -3 = -g + 5*v - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(12 - -72)\/(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 2*b**7\/105 - 4*b**6\/75 - 3*b**5\/25 + 4*b**4\/15 + 8*b**3\/15 - 2*b. Suppose z(f) = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(1\/11)\/(y**(-2\/5))**50 assuming y is positive.\nAnswer: y**(881\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*5 + (-1)\/(-1). Suppose 5*d - h = -6. Suppose -w + d = -4. What is the greatest common divisor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + 3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) + (2 - 0). Suppose 4*o - j*o - 80 = 0. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1338 and -34.4.\nAnswer: 46027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwereweewwr. What is prob of picking 1 w and 2 r?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 3*s**2 + 4*s - 2. Give g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/(-1) + 11076\/(-1491).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 + 8*p - 10)*(-4 + 1 + 4) + p + 0*p + p)*(-319 - 24 + 102 - 371).\nAnswer: -6120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.74277 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 2855408*f\/3 + 1019169355808\/3.\nAnswer: 2*(f + 713852)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3294 + -1649. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4663 - 1566\nAnswer: -6229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/8 + 1557970*u - 12463759\/8.\nAnswer: -(u - 12463759)*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:27 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4*c + 7. Calculate o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 763318?\nAnswer: -763313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*h - 3 = 763*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 44256*f**2 - 121028628*f + 7674848312 = 0. What is f?\nAnswer: -5563, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1 - 0\/1 - -263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - b - 11, 5*m + 5*b + 19 = 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1011100001011001111 (base 2) to base 14\nAnswer: -9b83d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p. Suppose 0 = -p*w - 2*w + 6. Suppose -3*o - 5*u = 0, 2*o - o + 2*u = -1. Calculate the remainder when o is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) 14 (b) -4 (c) 174.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000331 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {n: 1, g: 1, w: 1, m: 2, k: 3, j: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:58 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -2 (b) -4 (c) 11561 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 8*d**2 + 5*d + 15. Let y be o(7). Let h(k) = 4*k - k - y + 2*k - 6*k. Suppose f = -3*x - 10, 2*x - 3*f + 9 = -16. Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/6 + (-18)\/(-12). Let t = -8\/17 - -79\/204. What is the biggest value in -5, t, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffn when three letters picked without replacement from fnfnfnfffnnnnf?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41+-18250420\nAnswer: -18250461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 + 2*n**2 - 2*n + 1. Suppose 2*k - 5 = 5*k + 4*l, 3*l + 9 = 3*k. Let c be t(k). What is the third smallest value in -0.3, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -10*x + 15*x. Let i be 0\/7 + (-2)\/x. Let r = -718 + 717. Sort i, 3, r, 2.\nAnswer: r, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*b - b**4 + 0*b**2 + 2*b**2 + 4*b to the form g*b**3 + v*b**4 + s*b**2 + r*b + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (-3 + (17 - 0))) + (-1 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7\/27, -1\/256, 3\/5 in decreasing order.\nAnswer: 3\/5, -1\/256, -0.2, -7\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/9))\/(o\/o**(-2\/9))*(o\/o**(1\/5))**(-31))**(-6) assuming o is positive.\nAnswer: o**(744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4285000 to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (-56 - -57).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80) - (1 + (-2*sqrt(80))**2)) + -5.\nAnswer: -1931 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 9*h**2 - 5*h - 6. Let m be v(9). Let u = m - -6154. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*b**5 + 0 + 8\/5*b**4 - 12\/5*b**3 - 2\/5*b + 8\/5*b**2.\nAnswer: -2*b*(b - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d - 1. Let a be g(2). Let n(f) = -f - 1. Let s be n(0). Let q be 9*8\/144*(-7 - s). Sort 5, q, a in decreasing order.\nAnswer: 5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*b + 6186 = 29082 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/37, -0.1, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 2\/13, -1.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 - 0 - 20\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/48*(-168)\/(-378).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b. Let t be (-12545)\/(-15) - (-4 - 65\/(-15)). Let y(r) = -839*r + 1672*r - t*r. Determine y(n(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4.9 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14999.\nAnswer: 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.538 - -2.248. Which is smaller: j or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - s**3 - s**3 + (-s**3 + 8*s**3 + 0*s**3)*(2 + 2 - 2).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-27)\/(-12) - (-5137)\/44. Let j = y - 118. Let m(g) = 3*g**2 + 5*g - 2. Let z(l) = l**2 + l. Calculate j*m(b) + 5*z(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3754*r = 5*a - 3750*r + 10, 0 = -5*a + r + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 - j**2\/2 - 3*j - 9. Let h be x(6). Suppose -2*u - h = -71. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -1\/4, 0.4, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -79, -2, -4, 5\/42, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2043 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -74344.563 rounded to the nearest 1000?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 1, z: 2, u: 1, m: 1, g: 2}. What is prob of sequence gugz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from vkbvqveevqqqvevvbb.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/20 - 47*i**2. Let c(d) = -76*d + 38*d - 7*d**2 + 38*d. Determine o(c(j)).\nAnswer: 147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*n + 7076 = 46*n. What is the remainder when 746 is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -15) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1036640 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = d, -3*d - 2*w + 6 = -14. Let y = -2 - -2. What is the derivative of 0 - 8 + y - d*t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 3, a: 1, x: 4, n: 8}. What is prob of picking 1 m, 1 n, 1 e, and 1 a?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - i = 111 - 3, -q = 4*i - 128. Let h = 82 + -2. Let y = q - h. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:48 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 816\/15 - (-10)\/(-25). Let l = u - 53. What is the greatest common factor of l and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312202320112 - -10?\nAnswer: 1312202320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.3, -1\/45, 2\/19, -556?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 + 5*l**2 + 5*l**2 - 198*l + l**2 - 6*l**2. Let v(h) = h**2. What is v(z(c))?\nAnswer: c**4 - 396*c**3 + 39204*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose 0 = -2*p + 4*u + 6, p - h*u = -0*p + 1. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -27146\/5*k**2 - 23024898\/5 + 46063368\/5*k + 4\/5*k**3 = 0.\nAnswer: 1\/2, 3393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146*r**3 - 1830*r**3 - 337*r**3.\nAnswer: -3313*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -1.057. Let y = 27297.157 - 27286. Let z = y - d. Round z to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.6 from 1.5277.\nAnswer: 9.1277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d + 78 - 78)*(-4*d**2 - 6*d**2 + 3*d**2)*(d - 2*d - d).\nAnswer: -266*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 149*t = 5659 + 821 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410231355 is divided by 8927.\nAnswer: 8924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 127*o**2 + 6099*o - 797051. Give a(128).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 877 + -758. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27456 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*y + 44*c - 62777*y + 7235 with respect to y.\nAnswer: 5*c - 62777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1775*t**2 + 75*t. Let g(l) = 48*l**2 + 2*l. Give -4*b(z) + 150*g(z).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 42*d + 532 = 0. Suppose 17*o - d - 54 = 0. Do o and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/(-25) + (-8 - (-255)\/30) and -9\/140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18483 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 61958761, 1\/7?\nAnswer: 61958761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = -3*w - 3*u, 8*u - 657 = 5*w + 9*u. Let t be ((-2)\/4)\/(5*w\/120). Let q be (-4)\/2 + (-1 - 1). Which is the smallest value? (a) 5 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43264 and 9295.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -14*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 190*t + 7. Let r(a) = 119*a**2 + 2. What is r(v(d))?\nAnswer: 4295900*d**2 + 316540*d + 5833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 45.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:43 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c + 30720 = 118*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16543576 and 2058?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l**2 - 21*l + 9. What is the hundreds digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/(-2)*(-1605 - -1557).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 92*s**2 - 804*s + 3132.\nAnswer: 4*(s - 29)*(s - 3)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -2, -3, 2\/645 in descending order.\nAnswer: 0.3, 2\/645, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56615 is divided by 233.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17019)\/7564)\/(6\/(-88))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 11. Let b(o) = -o + 1. Let g(r) = 2*r - 6. Suppose -4*j = n, -2*n - 21 = -4*j - 9. Give f*b(z) + j*g(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 14*b + 9. Let p be v(9). Let n = -8 + 12. Let s = n - p. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605753507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 9*z - 15. Let m be w(6). Let b be (m\/45)\/((-3)\/9). Is 0 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-8)*0)\/1. Solve 1\/6*i**3 + w*i**2 - 1\/3 - 1\/2*i = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.3, -415, -432, -2, 0, -1?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -94 + 225\/4*m**2 + 1\/4*m**3 + 16875\/4*m. Factor c(d).\nAnswer: 3*(d + 75)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -215743?\nAnswer: 215744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*z + 36. Calculate the highest common factor of z and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 12 = 9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 11. Suppose 4*n = -3*u + 13, 0*u - y = -3*u - n. Suppose 7*v = u*c + 3*v - 206, 4*c = -5*v + 285. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4409 divide 2870543334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2\/(-3 + 4). Suppose 0*c - 39 = 2*c - 5*u, -5*c = -k*u + 108. Is c not equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from wwddidwdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**3 - 35056*y + 340362 with respect to y.\nAnswer: 3*y**2 - 35056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*w**2 - 3 - 782*w**2 + 391*w**2.\nAnswer: 97*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69513754.\nAnswer: 2, 29, 1198513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20907 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 9*p - 6. Let k be n(-8). Solve -k*h = -5 + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**8\/13440 + b**7\/5040 - b**6\/720 + 4*b**4\/3 - 9*b. Let w(s) be the third derivative of p(s). Suppose w(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + 52*l = 0. What is l?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610484 is divided by 87210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 856\/(-4))*-1. Let z = -198 - s. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l)**(1\/12))**(-1\/5))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -29. Differentiate -21 + o + 3*c + 10*c with respect to c.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 13464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2975*z. Let c(q) = 244*q**2. What is c(r(s))?\nAnswer: 2159552500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2)**2*-4.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 289 - 173. Suppose 0 = 11*t - t - 170. What is the remainder when a is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 157652393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b + 2. Let g be r(1). Which is smaller: 35 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 203*m**2 - 2*m + 32. Let q(g) = -611*g**2 + 7*g - 97. Let p(w) = -7*i(w) - 2*q(w). What is the first derivative of p(b) wrt b?\nAnswer: -398*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 79, 117, 169, 235, 315?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o**2 + 5*o - 5. Let c be z(-2). Solve c = -2*m + t, -t - 6 = -2*m + 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 2, l: 3, f: 2, j: 2, a: 4}. What is prob of picking 1 j, 1 a, 1 l, and 1 b?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 39. Suppose -4*b + 104 = -w*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 7134.\nAnswer: -42804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349960431?\nAnswer: 3, 53, 1297, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gccgcggggccgggggggg. What is prob of sequence gcgg?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 5 - 20*t - 18*t + 58 + 38*t to f*t + p*t**2 + w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/4 - 3*b**3\/4 - b**2\/2 + 3*b - 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4673067, 4673070, 4673073, 4673076, 4673079?\n\"Answer: 3*h + 4673064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(27))\/(sqrt(441) - sqrt(441)*1 - sqrt(441)).\nAnswer: -10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14210813?\nAnswer: 14210813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g + 2*g - 7*g + 2 + 5*g**2 - g**3. Let i be c(3). Suppose -11 = q - i*t, 77 = 5*q + 3*t - 8. Calculate the least common multiple of q and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.834518372 * -0.1\nAnswer: 0.0834518372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347733 - -144595. Let a = 165328 - g. Round a to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 - -240. Solve 0 = -u - 2 - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4877574281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*f = -8, -3*f - 10 = -4*q + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328\/9 - -1622\/45. Which is the nearest to n? (a) 4 (b) -21 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 56 = 0. Suppose 5*d - 14 = h. Calculate the remainder when 25 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 23*l - 34. Calculate g(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(24\/6*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - w + 90431, -15*q = -12*q + w - 67823. What are the prime factors of q?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-42)*21\/(-207) - (-70)\/253?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(sqrt(208) - -2*sqrt(208)) + -2 + sqrt(208) + 0 - (sqrt(208) + sqrt(208) + 1 + -1 - (0 + sqrt(208) + -3))))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 43. Suppose 4*t - 5*t - d = -9, -35*d = -34*d. Calculate the remainder when c is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -194, -510, -978, -1598, -2370?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277016 is divided by 15155?\nAnswer: 4226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from uslylto.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28698086*f**4 - 73978609*f wrt f?\nAnswer: 344377032*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*d**2*u*x - 11100264*d**2*x**2 + d*x**2 - 116632*u**3*x**2 wrt u.\nAnswer: 47*d**2*x - 349896*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 53 - 283 = 0. Suppose 0 - 2 = 2*u, 0 = 4*i + 2*u - q. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 6. Let j(d) = d - 1. Let s(k) = -6*j(k) - v(k). Let h(o) = 14*o. Let x(z) = z. Let g(t) = h(t) - 12*x(t). Calculate s(g(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 + 88*o**2 + 117*o - 42. Let g be r(-11). Factor -s - s**g - 2\/7*s**3 - 2\/7.\nAnswer: -(s + 1)*(s + 2)*(2*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798737621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.046296?\nAnswer: -0.324072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-12))**(-1)\/(x**(12\/11)*x*(x*x**(2\/19))\/x) assuming x is positive.\nAnswer: x**(-3176\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 k when four letters picked without replacement from lkkklkkkkkkkkkkkkkk?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**2 + d**3 - 2*d + 0 + 0*d**4 - 1\/10*d**5. Factor k(a).\nAnswer: -2*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of (-180682)\/(-9) + 33*(-82)\/(-12177)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -1.3. What is the closest to i in 0.1, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568278.\nAnswer: 2, 3, 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) + (-32)\/(5472\/(-1501)). Let o(i) = -i - 3. Let j(m) = 3*m + 13. Give g*o(p) + 2*j(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8926899.\nAnswer: 3, 83, 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 22*j**2 + 10. Let k(x) = -23*x**2 - 21*x + 6. Let w(a) = -63*a**2 - 56*a + 16. Let q(i) = 8*k(i) - 3*w(i). What is t(q(z))?\nAnswer: 550*z**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-21)\/6)*(-4 - -4). Suppose 6*j - 11*j + 20 = r. Suppose -2*u - 3*u = j*f - 55, -2*f = 5*u - 25. Solve -7*b + f = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -155*h + 7537. Determine d(52).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:25 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -62.384419.\nAnswer: -6.2384419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*a - 102*a - 45*a**2)*(-3*a**2 + 37*a**2 - 7*a**2).\nAnswer: -1215*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {b: 2, n: 1, o: 2, p: 2, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52, -89, -150, -235, -344, -477, -634?\n\"Answer: -12*q**2 - q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59b (base 15) in base 16?\nAnswer: -4f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k + 69*k - 135 = 129*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4042 and 72756?\nAnswer: 72756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**3 + 23*o**2 - 70*o = 0. What is o?\nAnswer: -35\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156, -2006, -2892, -3832, -4844, -5946, -7156, -8492?\nAnswer: -9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - (10773\/54)\/(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -16*c + 957. What is the highest common divisor of c and 4131?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2 + 4 - 3)*(0 + 0 + 2*c)*(-3 + 1 + 4).\nAnswer: -12*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**2 + 6\/7 + 10\/7*w - 2\/7*w**3.\nAnswer: -2*(w - 3)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 120\/(-16)*8\/(-10). Put 0, b, -1, -4, 4 in decreasing order.\nAnswer: b, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23711872 take away -0.037913?\nAnswer: -23711871.962087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 147. Which is the closest to 2? (a) 2\/7 (b) -1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + -1.4. Let y be 0 + (-1 - (-14)\/10). Which is the closest to -1\/3? (a) y (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 69 = 91. Let b = f + -9. Suppose 0 = 4*j - h - 38, 3*j + 0*j - 33 = 3*h. What is the remainder when b is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 133203*t + 95. Let b(p) = -20*p. Calculate r(b(n)).\nAnswer: 800*n**2 - 2664060*n + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.993 - -19. What is c rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*r - 19, -3*y - 15 = -0*y - 4*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6861 and 2440229.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96a50 (base 13) to base 16.\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49872 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258*t**4 - 153370*t**3 - 2*t**2 + 1147455*t - 145?\nAnswer: 3096*t**2 - 920220*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 + 1 = 0. Suppose -m + 8 = m. Find the third derivative of -o + x*o**2 - o**m + o wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-893 + 893 + 2*q**3)*(3*q + q - 5*q)*(-5*q - 13 + 13).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -1.8, 1\/3, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-3))\/((-2)\/3). Suppose -4*k + 2*g + y = -6, 4*g = 5*k - 25. Solve 0 = k*d - 4 - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 525624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503738.\nAnswer: 2, 3, 11, 41, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + 2*b**2 + 2*b + 3. Let m(d) = -9*d**3 - 9*d**2 - 9*d + 23*d**3 - 21*d**3 - 10*d**3 - 13. Determine 4*m(q) + 18*s(q).\nAnswer: 4*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53904479?\nAnswer: 23, 809, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109 - -3?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 264549*k - 529110.\nAnswer: 3*(k - 2)*(k + 88185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111101010 + -1?\nAnswer: 101111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29664?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/24)\/(10\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 3*j + 12 = 0, -3*k + 5*j + 20 = 0. Let o = 0 + k. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*y + 5*p + 70, 3*y = p + 32. Let v(c) = -c**2 + 9*c - 10. Let j be v(y). Let u = 16 + j. Solve -5*o = u + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -7 - 3)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26080)\/600 - (-4)\/30)\/(2\/(-3)). Let k be (2 + 0)\/(1\/6). Let y = k - -14. What is the highest common divisor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-96*c**2 - 23 + 23) + 0*c**2 + 0*c**2 - 2*c**2.\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7583 - -15798. What are the prime factors of x?\nAnswer: 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2270 - -2268. Sort -16, d, -3 in descending order.\nAnswer: d, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2. Let i(p) = -5*p. Determine i(j(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*v + 125 - 127, -5*v = -2*t - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -3*x. Let b be (-2*1 + 3)*-9. Let h be 3\/(-2)*12\/b. Sort -5, h, x in ascending order.\nAnswer: -5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1928 divide 23070448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/48646 and -57\/5?\nAnswer: 243230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5153 - 1307.3038354.\nAnswer: 3845.6961646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/21484 and 93\/2096?\nAnswer: 85936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 79*u**3.\nAnswer: 79*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, -0.1, -65, 3750 in decreasing order.\nAnswer: 3750, 0.5, -0.1, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**6\/40 - x**5\/30 - x**4\/6 + x**3\/3 + 2*x**2 - 10. Let s(r) be the second derivative of f(r). Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*a**5 - 12*a**4 + 132*a**3 + 92*a**2.\nAnswer: -4*a**2*(a + 1)**2*(13*a - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -22 - -5 - (28 - (4 - 6))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28697 or 28696?\nAnswer: 28696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3481800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 + -235. Calculate the greatest common factor of 96 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 1. Let p(s) = s + 1. Let o(g) = -j(g) + p(g). What is the least common multiple of 22 and o(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:31 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1904394, 1904514, 1904634, 1904754, 1904874?\nAnswer: 1904994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 216710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a + 169. Let u be v(12). Is u at least -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15173 or -15155?\nAnswer: -15155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*l - 1 = 0, -2*a + l = -4*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 22. Let i(c) = -c. Let n(g) = -g - 2. What is k*i(y) - n(y)?\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 2*u**5\/5 - 105*u**4 + 416*u**3\/3 + 210*u**2 - 418*u - 1085. What is n in x(n) = 0?\nAnswer: -1, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) + -3*sqrt(162)) + 1 + sqrt(162) + 4 + ((sqrt(162)*2 + sqrt(162) - sqrt(162))*5 - (sqrt(162) + -2*sqrt(162))*2) + 2)**2.\nAnswer: 3150*sqrt(2) + 101299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 5*c**2 - 96455*c**3.\nAnswer: -96455*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*w - 3*w. Suppose 3*p - w = 2*r, p - 2*p = 5*r - 11. Suppose p*g - 812 = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjjrjjrj. What is prob of sequence jr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 229838301 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3438 and -75\/38.\nAnswer: 65322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*y = 40, 5*o + 4*y - 8*y + 32 = 0. Is (-10)\/o*(2 - -90) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423620880*t*w**3 - 3*t*w**2 + 154*t*w - t - 30*w**2 - 2*w - 1 wrt w.\nAnswer: 2541725280*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 2*w + 5*y + 11, 3*w - 4*y + 1 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h - 2*h + 0*h + 2 + h**3 - 2*h to the form q*h**3 + r*h**2 + g + w*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 - 3*r + 38. Let k(b) = -6*b**2 - 3*b + 40. Let y(c) = -6*k(c) + 5*o(c). Let l be y(-10). Solve -4*j = -l - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 5)*(30 - 19 - 30)*(-17*g + g**2 - 26*g + 27*g) as l*g + z*g**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-61)\/(-244))\/((-2)\/12). Let w = -0.6 + 6.6. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 15*q + 2926. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415920 divided by -17330\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 810*l + 2597. What is m(-3)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 49 = 18*z. Suppose -2*y - 25 = 3*y, -2*y - z = m. Let n = 0 - -1. Put m, n, -5 in decreasing order.\nAnswer: m, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0346 times 4\nAnswer: 0.1384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 13 = 5*c, c + 20 = 5*c. Suppose -f = 5*r - 69. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x\/x**0)\/x))\/x)**9*(x**(-3))**(-3\/5))**(-8) assuming x is positive.\nAnswer: x**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*x - 158 + 1714 = 36 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4515154 (base 6) to base 11\nAnswer: 146298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-12 + 25 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.06. Let q = 0.06 - -1.94. Does q = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249900 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*i - g, -2*i - 5*g = -7*i + 130. Calculate the remainder when i is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35226 + -35284.0268. Let r = -58 - h. What is r rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96414?\nAnswer: 2, 3, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1211 - 835. Let o = p - -68. Let d = o + -47. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515.33 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6551, -13089, -19601, -26075, -32499, -38861?\nAnswer: -45149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731670.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, e: 1, a: 2, w: 1}. What is prob of sequence gad?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 257146 and -0.21?\nAnswer: 257146.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2136*n + 2417. Calculate b(2).\nAnswer: -1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c78 - 7?\nAnswer: 1c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 43*g - 85*g**2 - 3 - 43*g.\nAnswer: -85*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20813 is divided by 245.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29\/20, -2\/103, 5?\nAnswer: 29\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-67694)\/561)\/((-1)\/3). Which is bigger: w or 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 18*z - 14. Differentiate 66*g**z + 7*g**2 + 2*g**2 + 71 + 62 + 2*g**3 wrt g.\nAnswer: 6*g**2 + 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1404149339\/84 - -16716549. Let w = 3422\/7 - i. Let o = -103723\/16218 - -6\/901. What is the common denominator of w and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 92*h**2 + 15*h + 16. List the prime factors of z(-2).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*i - 258 - 258, 0 = 2*l - 5*i - 218. Solve l = 22*s - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 2 r when four letters picked without replacement from ekrllalklaeellr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Suppose k = -2*v + 5. Let r be 4 + -3 + v\/(-6). Which is the second smallest value? (a) r (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3411611 greater than -3411610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 451 times 0.0466\nAnswer: 21.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 3. Let f(t) = t**2 - 14*t - 17. Let l = 33 - 18. Let o be f(l). Give y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7221198 micrometers?\nAnswer: 0.0000000007221198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3510 = 4*n + n + g, 2106 = 3*n - 4*g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 401 + -407. What is the tens digit of 810 - ((-2 - -1) + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303570 + 10*g + 303818 - 607388.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13404 and 1731350.\nAnswer: 10388100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2815.118 times 3.8\nAnswer: -10697.4484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 14*h - 16. Let u be a(-13). Let r be 3\/18*u - (-3 + 3). What is the nearest to r in 3, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2. Let s(o) be the first derivative of 5*o**3 - 60. Determine w(s(c)).\nAnswer: -900*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36676?\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:36 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -32, -107, -254, -497, -860, -1367?\n\"Answer: -4*w**3 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2285*i**2 - 1400*i**2 - 1334*i**2.\nAnswer: -449*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 38\/(-4)*2. Is 16 a factor of (-6 + 1)*a\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:41 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -1 + 4*j**3 - j**3 - 4*j**3. Let i(u) be the third derivative of -u**5\/30 - 28*u**2. Determine i(b(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + 5*n - 4. Let q be l(-4). Which is the second smallest value? (a) 0.3 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0*t**2 - t + 0*t**2 + 0*t**2 - t**2. Let k(n) = -n - 1. Let p be k(1). What is a(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -49?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*w**4 + 837*w**2?\nAnswer: 2952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 6*u + 2*u)*(-1 + u + 1) - 6*u**2 - 7*u + 7*u + (2 - 2 - u)*(-5 + 5 - u) to the form p*u**2 + w + f*u and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424926063.\nAnswer: 3, 47214007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 2451441?\nAnswer: 2451436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4468*j**2*u**2 - j**2*u - 206*j**2 - 46 with respect to u.\nAnswer: -8936*j**2*u - j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -22.4.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28044 + 5 + (-2)\/(-1). Let u = m - 15122. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 16. Let f(h) = -11*h**2 - 1. What is f(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*x**2 - 24*x - 359*x**2 + 109*x**2 + 127*x**2 + 99*x**2.\nAnswer: 107*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z - 65*z - 82*z + 231*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10*m - 1755. Calculate the remainder when m is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1365, -3, -2, -5, -15 in decreasing order.\nAnswer: -2, -3, -5, -15, -1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27391122 and 6270?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3\/5 - 1300*k**2 - 38742*k\/5 + 45248\/5 = 0. What is k?\nAnswer: -3232\/3, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/4 - 5*w**3\/3 - 5*w**2\/2 + 9*w - 2. What are the prime factors of h(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) 1654 (c) 5 (d) -9 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-45)*-5*(4 + 0 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6. Let p be s(0). Suppose -2*c + 4*c - 2 = 0. Let r be (-6)\/p - 7*c. Is -6 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/42? (a) -0.2 (b) -0.4 (c) 1\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111010011010101 (base 2) in base 3?\nAnswer: -20111212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, b: 1, z: 1, f: 1}. Give prob of picking 1 s and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -8 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*u**2)*(3 + 0 + 0) + ((4 + 2 - 5)*(14 - 4*u - 14) + (36 - 56 - 16)*(-3*u + 4*u + u))*(2 - 2*u - 2).\nAnswer: 146*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -11*z - 35*z + 19*z. Solve -n - z*n + l - 13 = 0, 6*n = 4*l - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.50069239 and -0.47.\nAnswer: -1.97069239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from nirwwxn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111618271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -525 + -0.02.\nAnswer: -525.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-378)\/441)\/((-6)\/14). Suppose -3*x - 2 = -f*x + a, 8*x + a = 19. Solve q + n + 7 = 2*n, 29 = -5*q + x*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 51. Calculate z(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 5*r + 2*a + 5, 0 = -r - 2*a + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -a + 903. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 446 - 835. Let a = 736 - m. Calculate the greatest common divisor of 45 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 89*o + 11. Let d(z) = -312*z - 39. Determine 5*d(p) + 18*t(p).\nAnswer: 42*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*g + 7*g - 16, 5*p = -20. Let z be 20\/116 + 2\/g. Let j = 226\/203 + z. Put j, 0.4, 3\/5 in ascending order.\nAnswer: j, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -974 and -429571929.\nAnswer: -429572903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, k: 2, b: 8, n: 7}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6015781, -6015776, -6015767, -6015754, -6015737, -6015716, -6015691?\n\"Answer: 2*j**2 - j - 6015782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30019.32kg?\nAnswer: 30019320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-27 - -6) - (-12 - 2 - -5)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(54) + sqrt(216)\/sqrt(4))*-1)\/(5*sqrt(54)))\/((sqrt(600)*1)\/(sqrt(2)*1*-1)))**2.\nAnswer: 12\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-476)\/(-255))\/(-28))\/((-1)\/(-5)*-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 - 14*z + 1. Calculate the least common multiple of 21 and c(-10).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 32, 43?\n\"Answer: 11*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 0)*(-4*o + 4*o - 2*o) - 3*o + 2*o + 0*o)*(-5 + 22 + 7)*(-6 + 2 - 3) in the form t*o + s and give t.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3107 (b) 4 (c) 2\/457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (36 - 7 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 166552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - n**2 - 3*n**2 + 14*n + 3*n**2 - 13. Let f = 81 + -74. Is g(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130903.89 months in centuries?\nAnswer: 109.086575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2775\/370)\/(5\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -1, 5, -11\/10, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 89 + 584. Suppose 5*b - o = -5*d, b + 0*d - 4*d = -14. Let m(p) = -p**3 + 5*p**2 + 6*p + 5. Calculate m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 + 0*x**3 + 2*x**2 + x + x**3. Suppose 25 = -7*o + 2*o. Let j be (-4 - o)*(3 + -2). Let d(v) = -v**2 + v. What is j*k(l) - d(l)?\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*o + 58366 = 1491*o - 43802 for o.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3 + 7. Let a(x) = -10416*x - 144. Let t(o) = 360*o + 5. Let u(k) = 5*a(k) + 144*t(k). What is u(f(q))?\nAnswer: -720*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5\/3 - 1468*f**4\/3 - 38356*f**3\/3 - 327908*f**2\/3 - 382960*f - 470400 = 0.\nAnswer: -12, -5, -3, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h + 2783. Let r be g(-116). Let n(x) be the first derivative of 3*x**4\/4 + 2*x**3\/3 - x - 1. Calculate n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 0 - 2)*(1 - 1 - 1)*(-28 + 28 + 37*g) in the form w + k*g and give k.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11345002425 - 5?\nAnswer: 11345002420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 2*a + 305. Calculate n(33).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 67.71 (b) -2 (c) 3.17 (d) 14 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 847, -1\/12, 1\/5, -1\/2, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1360 - -2208. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3795053077.\nAnswer: 31, 122421067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 2*d + 2. Let o be x(-2). Suppose 2*j + o*r + 11 = -r, 3*j + r + 13 = 0. Let i = -4 - -4.1. Which is the nearest to -2\/3? (a) -2 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 7*c**2 + 30*c - 130. Give x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -6) - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 10*k**2 - 12*k - 12. What is y(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 321*l**2 - 59*l**2 - 1138*l + 1138*l. Let m(k) = 2*k**2. Give m(q(a)).\nAnswer: 137288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2509274963 minus -4?\nAnswer: -2509274959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.602028 seconds?\nAnswer: 7602.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 2 + 62\/(-14). Let i be (-1*2)\/(4 + -8). Which is the biggest value? (a) 1\/3 (b) -2 (c) i (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24 and 143\/2424.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 21*w**2 - 6. Let v(g) = -4*g**2 - g - 3. Let u(n) = 100*n**2 + 24*n + 72. Let b(z) = -u(z) - 24*v(z). What is b(o(f))?\nAnswer: -1764*f**4 + 1008*f**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -19*x**6\/120 - 2*x**3 - 11*x**2. Differentiate z(v) wrt v.\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {n: 1, e: 2, j: 2, r: 2, d: 5, q: 2}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 3*g + 27*g**2 + g.\nAnswer: 27*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/15, -11.2, 0?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-2 - 7) + (5 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5733385*h**3 + 141262*h**2 - 4*h.\nAnswer: -34400310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/40 - (-20)\/(-12)*63\/(-24). Which is the second smallest value? (a) 5 (b) 139\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21822999, 21823004, 21823009, 21823014, 21823019?\nAnswer: 21823024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102882 divided by 51441.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 320.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978491184 to the power of 1\/2, to the nearest integer?\nAnswer: 54576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 14) to base 9\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/5 - 1568*v\/5 = 0.\nAnswer: 0, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 15861?\nAnswer: 1586.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 6. Suppose 0 = -3*i + 6*i. Let v = i + 2. Calculate the smallest common multiple of c(4) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 16. Let m be v(-9). Suppose 5*j - 1 - 313 = 3*t, -m*t = 2*j - 132. Let g = j + -40. Calculate the least common multiple of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -0.0298?\nAnswer: -0.002682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 526*y**2 - 204*y + 788. What are the prime factors of k(4)?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + 41 + -68 + 25 - 32?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 28 = -34*i + 26*i. Let y(j) be the first derivative of -5\/3*j**3 + 1\/4*j**i + 3*j - 9\/2*j**2 + 9. What is y(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 2*p**4 + 0*p**4 - 5*p**4 + 3*p**4 + 4*p**4 + (5 - 1 - 2)*(3*p**4 + 3 - 3) + (-7*p**3 + 2*p**3 + 0*p**3)*(-4*p + 0*p + 0*p).\nAnswer: 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 83*a - 394. What is c(78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -94 - 291. Suppose 5*j - 210 = -5*n, -2*j = 3*n - 49 - d. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1505 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 67*x + 67. Let n be r(-1). Solve -59*s + 62*s - 24 = n for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 32. Let d = -0.04 + -1.96. What is the closest to -2 in -2\/5, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*r - 2*r, 0 = -5*r. Suppose 0 = o - 4*d - 141, a = 3*o - 6*o + d + 445. Find the second derivative of -6*u - 2*u**5 - 149 + o - u**5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = a - 3*a - 6, 0 = -5*a + 3*j - 24. Let b(n) = n**2 - 2*n + 12. Let k be b(4). Let w = k + a. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7066909 is divided by 588906.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420*m**3*u**3 + m**3 + 5*m**2*u**3 + 2*m**2*u**2 + 13*m**2*u wrt m?\nAnswer: -2520*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 4. Let a(l) = -1. Let f(o) = -4*a(o) + j(o). Let z(k) = 3*k - 5. Let t(s) = 5*f(s) + 8*z(s). Let i(n) = 3*n. Determine i(t(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12523514?\nAnswer: 2, 1487, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 7.37, -5\/6, -882?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d393 + -4?\nAnswer: -d397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*b - 2*l, 5*l + 12 = -b - 0*b. Let d be 0\/3 - b*8. Let c be 47\/3 - (-2)\/6. What is the greatest common factor of d and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmnnvmdnngm. What is prob of picking 1 s and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -59*v + 4. Let q = -39 + 36. Let x be s(q). Let g = x + -125. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s. Suppose 3*i - 2*j = 23, j = -2 + 7. Let f(l) = 19*l - 15*l - 8*l - 5*l. Give i*f(q) + 6*v(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}